プレプリどんどん: math.AG

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幾何と代数と不変量 - 2026/11/11の論文40本

Nov 11, 2026 1 hr 11 min

arXiv math.AGの新着論文40本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-11-11/ Waldschmidt constants and invariant geometry for exceptional rank-four complex reflection groupsReciprocal mirror map derivatives, euler-twisted Gromov-Witten invariants, and instanton counts via quantum Serre dualityThe Cayley-Bedregal reduction for Milnor and Hirzebruch-Milnor classesOn Poincar\'e-Type Inequalities for Flags of DistributionsUnimodal Singularities of Parametrized Space Curves$5I(K_X+\Delta)$ is very ample on stable log surfacesGromov-Witten Nonvanishing and Symplectic Deformations of Toric VarietiesA cyclotomic Artin-Tate formula and sphere packing for K3 surfacesEssential $p$-dimension of simple algebras and noncrossed products of prime exponentNon-abelian $p$-adic Hodge theory and stacksOn Algebraic LNE models of complex affine algebraic curvesLoops and mirrorsAffine Springer fibers, Cherednik algebra modules and Hilbert schemes: torus link caseVirtual Two-Step Nilpotency of the Fundamental Groups of Special Quasi-Projective VarietiesIrrationality and Noether--Lefschetz loci in the moduli space of K3 surfacesRamification of torsion packets on curves with good-reduction JacobiansOn the topology of some linear systems of hyperelliptic curves in Hirzebruch surfacesCanonical Volumes of Threefolds with Positive Geometric GenusOn the stable birational type of Fano threefoldsShifted Lagrangian structures and syzygies on Calabi--Yau varietiesKoszul duality and determinant formulas for affine hyperplane arrangementsThe $\mathbb Q$-gonality of $X_1(42)$ is $12$A decomposition theorem for minimal W-algebras of type AOn the number of zeros of polyanalytic polynomialsClosed layers in tensor-triangular geometryUniform symmetric spectral finiteness of semialgebraic conesCluster-theoretic Newton--Okounkov polytopes of flag varieties of types $A_4$ and $B_2$Differential Monodromy, $q$-Opers, and Universal $(G,q)$-WronskiansRegular loci of af...

幾何学と対称性とコホモロジーの探求 - 2026/11/10の論文46本

Nov 10, 2026 1 hr 21 min

arXiv math.AGの新着論文46本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-11-10/ Finite Subgroups of Birational Automorphism Groups of Severi--Brauer SurfacesOn deformations of foliated complex analytic structures IV-1: Obstructed and unobstructed foliated deformationsAdaptive visualization for enumerative problemsAutomorphisms of Kummer and Artin-Schreier curves defined by Chebyshev polynomialsMetric nefness of direct image sheaves under weakly semi-stable K\"ahler morphismsBirational Geometry of K-Moduli Spaces of Genus Four CurvesExtendability of general prime $K3$ surfaces without Gaussian maps and classification of prime Fano threefoldsThe moduli stack of affine bundles with fixed linearisation typeUnramified case of Colliot-Th\'el\`ene conjecture on quadratic formsA Lefschetz Alternative for Real Characters on Smooth Quasi-Projective VarietiesFinite torsion in Hodge--Witt cohomology groupsAll-genus mirror symmetry for the type-$D$ minimal resolution Calabi-Yau threefoldClassification of 3-dimensional complex nilmanifolds - Teichm\"uller and moduli spacesDerived invariance of the space of holomorphic two-formsZero-cycles on quotients of multiple double covers and their productsGersten resolutions for logarithmic formsGeneralizations of Igusa surfacesThe rank of the Fano normal function via the Fermat cubicSharp minima of higher Milnor and Tjurina numbers of isolated singularitiesCylindricity of log del Pezzo surfaces in characteristic fiveLipschitz inner rates of normal surface singularitiesDerivations tangent to polar discriminants$\lambda_g$-Integrals on triple, one-part admissible coversSemisimple Deformations of Contraction Algebras for Smooth Threefold FlopsOn the Cohomological Amplitude of the Locally Analytic Jacquet--Langlands FunctorCounter-examples to Conjectures on NCCRs via a Reductive McKay CorrespondenceFourteenth-canonical birationality of threefolds with positive geometric genusPerfect loops of proper s...

束と曲線と予想と構造 - 2026/11/9の論文19本

Nov 9, 2026 34 min

arXiv math.AGの新着論文19本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-11-09/ An Explicit Equation for the $\mathrm{SL}_2(\mathbb{C})$ Character Variety of $\mathbb{RP}^2 \# \mathbb{RP}^2 \# \mathbb{RP}^2$Special line bundles on tetragonal curvesMulti-monopoles and monodromy around the wobbly divisorGalois lines for the maximal curve with the second largest genus in characteristic twoA counterexample to Manin's Conjecture for almost Fano varietiesThe splitting type of jet bundles on the projective lineCuspidal sections for varieties of arbitrary dimensionCentres and semisimple deformations of contraction algebrasThe Woo-Yong conjectureDominant root sequences of arbitrary degreeOne complex metric and geometric adelic nefnessTetragonal conic bundlesFujita's Very Ampleness Conjecture for $\mathbb{P}^{n-1}$-Bundles over CurvesSimply connected quotients of fake quadricsSome normal abelian surfaces in $\mathbf{P}^3$Exploring the Regular and Singular Loci of Group Representation VarietiesAnalytic information encoded in the Bernstein-Sato polynomial of genus-one plane branchesCampana points on quadrics with hyperplane boundaryMacdonald intersections and the $N!/k$ conjecture

シンプトティック相とトング不変量とRMコード - 2026/11/6の論文26本

Nov 6, 2026 46 min

arXiv math.AGの新着論文26本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-11-06/ Tangle Invariants Valued in Derived Categories of Sheaves and the Rouquier ComplexThe odd biisotropic symplectic Grassmannian $\operatorname{S_2Gr}(3,7)$Isospectral Deformations of Diagonal Matrices by Symmetric Matrices in Dimension FourValues of differentials of plane branches: block decomposition and semirootsBrauer groups of generalised Markoff surfacesThe Chow ring of a wonderful compactificationBernstein-Sato polynomials of generic Pfaffian idealsFermat quotients with CM Jacobians and trivial automorphism groupTorsion points in families of elliptic curvesButler's conjecture for K3 curvesKappa Classes on the KSBA Space of Stable Toric PairsRamification of Weighted Central Paths and Super-linear Interior-Point Methods for Semi-definite OptimizationLocal Homological Mirror SymmetryOn the Topology of the Set of Nonnegative Forms That Are Not Sums of SquaresOn explicit units in a family of cubic fields and the arithmetic of curves arising from powers of these unitsTwo-row Schur times Schubert via parallel classes of positroid varietiesFunctors from Lagrangian correspondences for wrapped sheaf categoriesThe residual map as a stratified fibration over the resonance arrangementArithmetic Kac Theory for Ramified SpeciesA Hypergeometric RM Surface: Integral Monodromy and Level-11 CoversTilting bundles and modifying modules in relative dimension oneUniversal $x$-$y$ duality in equivariant topological recursion and quartic Kontsevich modelUniform Three-Fold Product Expansion of Algebraic-Geometry Codes over a Fixed FieldCommon zeros of homogeneous polynomials and the weight hierarchy of projective Reed-Muller codesPointless K3 surfaces over finite fieldsOn supersoluble like groups of automorphisms of compact Riemann surfaces

多様体と作用素の解析 - 2026/11/5の論文29本

Nov 5, 2026 48 min

arXiv math.AGの新着論文29本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-11-05/ On Fujita's Advanced Generalized Mukai ConjectureA motivic Vojta inequality for non-CM elliptic curves with unbounded heightEquivariant elliptic cohomology via loop spacesOn rational curves relative to a divisorCategorical Torelli and Fourier-Mukai partners of hypersurfacesThe integral Chow rings of $\mathcal A_3$ and $\mathcal M_3$Capelli Operators and the Bernstein-Sato polynomials of MinorsOdd and even fake quadrics isogenous to a productPCF All The Way DownA general L\^e--Siersma formulaPointless K3 surfaces over finite fieldsOn the proof of multi-variable $n/d$-conjecture for hyperplane arrangementsThe super Weil-Petersson asymptotic expansion and the coefficientsOn the geometric degree of the prolongation varieties of the differential system $x_1'=x_2^2$, $x_2'=x_1^2$Hessenberg characterThe pliability of del Pezzo surfacesHeavy-Light Wall Crossings and Motivic Asymptotics of Moduli Spaces of Curves. Part I: Stabilization Graphs and Euler CharacteristicsRepresentations of 3D Rotations: Mathematical Foundations and Comparative AnalysisQuantum error correcting codes from quiver moduli: Grassmannians, cyclic monodromy, and argyle collision divisorsOrbit Transversality for Projective SpaceA toric approach to social choice theoryHolomorphic flexibility properties of strongly commuting varietiesUniform comparison of multiplier and test ideals for polynomials with affinely independent supportRational Torsion and Ramification Constraints on Odd Superelliptic JacobiansOn the (in)finiteness of fixed characters in genus $3$Intersection Product Formulas and Integral DependenceLyapunov spectrum, Harder--Narasimhan filtration and thin monodromyUniform localization and boundary corrections for two-node quiver Coulomb branchesConcavity of Normalized Generalized Br\'ezin--Gross--Witten Correlators and Its Applications

特異点と多様体と代数構造 - 2026/11/4の論文34本

Nov 4, 2026 58 min

arXiv math.AGの新着論文34本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-11-04/ Seshadri constants of singular loci of line arrangements with at most twelve linesMin-plus Bruhat decompositionD-equivalence conjecture for hyperk\"ahler varieties of generalized Kummer typeGlobal vector fields and the automorphism group of regular semisimple Hessenberg varietiesAdmissible extremal rays and the anticanonical minimal model programA Bubble Compactification of KSBA Moduli Space of Surfaces of General TypeConjecture B for $X_{10}$ and its genus-two mirrorCanonical Projectivization of Algebraic Varieties in Characteristic ZeroAlgebraicity, Hodge Gradings, and the Geometry of Period ImagesFat base schemes and unexpected hypersurfaces of type $(d+k,d)$K3 Categories and Mukai Homomorphisms for Debarre-Voisin VarietiesIsolated symplectic singularities admitting symplectic resolutionsLocal resolution of the second log-Fitting idealPushforwards of lc pairs under morphisms to abelian varietiesEnumerative geometry of conics and double covers on projective complete intersectionsDerived Equivalences for Terminal Threefold Flops via Local Index-One Covering ModelsGeometric Obstructions and Sharp Genus Dependence in LCD ScalingsAlgebraic ellipticity of double covers of $(\mathbf P^1)^3$Projective symmetries of Chebyshev polynomialsRelative cohomology and base-changeOn the $abc$ conjectureGepner stability conditions on hypersurface categoriesPositive scalar curvature K\"ahler cones on compact complex surfacesBinomial Artin-Schelter Regular Algebras and Twisted Monoid AlgebrasRational points on loxodromic K3 surfaces and complex dynamicsUpper Bounds on the Strassen CP Rank Gap and Symmetric Rank Gap of Third-Order TensorsPseudo-Einstein Structures on Links of Isolated SingularitiesBoundary determination from the anisotropic elastic Dirichlet-to-Neumann mapOn Douglas' conjecture for $m$-Kronecker quiversSubstantially Improved Rate and Distance for...

ホッジ幾何とモジュライ空間の構造 - 2026/11/3の論文50本

Nov 3, 2026 1 hr 25 min

arXiv math.AGの新着論文50本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-11-03/ On potential density of rational points on hyperkahler varietiesStable compatibility for model categoriesRegions of totally real arrangements of rational curvesFrom MHV Gravity Amplitudes and Hodges map to Pentad VarietiesGalois Actions on Energy-Harmonic FunctionsOn motivic multiplicativity of cyclic coversSecant dimensions and bilinear decomposition widths for finite Heisenberg groupsSeshadri functions on surfacesHodge theory and topology of Bogomolov--Guan manifoldsGromov-Witten theory of the local model of the standard flopArtinian reduction applied to the Largest Intersection ProblemTopological transcendence degree and the dimension problem for perfectoid spacesThe classification of Fano contact manifolds revisitedDu Bois cohomology of noncommutative spaces and the Hodge numbers invariance conjecture for singular varietiesThe most singular loci of twisted character varietiesDerived Torelli for Kuznetsov components of cubic fourfoldsA remark on the AI proof of the Deligne--Drinfeld conjectureModuli spaces of rank 2 sheaves on $\mathbb P^3$ via Quot schemesA Reider-type theorem for syzygies of cyclic covers of anticanonical rational surfacesThe Coxeter-Todd abelian sixfold, Gamma00, and big SchottkyNormality of closures of conormal bundles to Schubert cells for $\operatorname{GL}_n$Motivic Eilenberg--Mac Lane spaces at the characteristicConstruction of stability conditions on some Kuznetsov componentsThe topology of the amoeba map and maximal volumeUniversal Curve Counting in Calabi-Yau 4-foldsHodge--Riemann relations for $m$-positive and generalized $m$-positive formsHuman Variations on AI MathematicsThe Universal Nilpotent Cone and a Canonical 1-formSpectral pairs of Newton non-degenerate polynomials with isolated singularitiesQuantitative finiteness for maximal complex totally geodesic submanifolds of non-arithmetic ball quotientsGW/PT-co...

モティフと幾何学の構造解析 - 2026/11/2の論文28本

Nov 2, 2026 45 min

arXiv math.AGの新着論文28本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-11-02/ Tate and Artin--Tate Motivic Tensor-Triangular GeometryIntegral Hodge structures and atoms of fourfoldsTruncated Grassmannians: polytopes, representations, and Cauchy formulasUniformization of compact K\"ahler Threefolds of Zero Kodaira DimensionHyperelliptic curves on $(1,d)$ abelian surfaces for $d\leq 15$Rational curves of submaximal quantum indexAn atomic approach to Shokurov's conic-bundle conjectureOdd-Degree Rigidity and a Numerical Characterization of Complete Flag VarietiesSemipositivity and complete subvarieties of projectivised strata of holomorphic differentialsDisconnectedness of stability manifolds and their geometric loci, and separation of braid orbits of semiorthogonal decompositionsTropicalization and Polyhedral Completions of Weyl AlgebrasExtended Tropical Characteristic Fibers and Slopes of Binomial D-ModulesRelative Du Bois complexes over higher dimensional basesDeformations of Calabi--Yau varieties over transversal or crystalline prisms$K$-tropical curves, Riemann-Roch and Serre dualityA Tropical Viewpoint on the Nagata--Biran--Szemberg ConjectureThe metric Zariski multiplicity conjecture in dimension 4Motivic invariants of birational hyper-K\"ahler manifoldsGrassmannians of absolute Banach-Colmez SpacesAbelianization and moment mapsWeighted flip graphs from cyclic quantum mutations: pentagon inequalities and exponential separationsOn Boundary State Screening via SolitonsIntegral Brauer--Manin Obstruction for Fermat Near MissesIterated toric descent obstruction and homogeneous spaces over geometric global fieldsNumerical Kawamata--Viehweg vanishing for rank-three matroidsAlcove walks, crystal structure and a Levi branching ruleSpectral Beurling-Selberg Approximation and Applications to Effective Motivic Chebotarev-Sato-Tate EstimatesBaker--Akhiezer sections from Higgs bundles and Landau levels in hyperbolic band theory

特殊多様体と代数構造 - 2026/10/30の論文63本

Oct 30, 2026 2 hr 4 min

arXiv math.AGの新着論文63本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-10-30/ Maximal Curves with Few AutomorphismsSpectrahedral relaxations and tightenings of rigidly convex setsCalabi-Yau HyperbolicityPointed Hurwitz--Brill--Noether theoryA curve of genus $2$ over $\mathbb{C}(t)$ and hexads of bitangents to a smooth quarticThe Miyaoka-Yau inequality and the delta invariant for Fano varieties II -soliton case-Asymptotic distributions of the Betti and Hodge numbers of $\overline{\mathcal M}_{g,n}$Geometry of $m$-direct-sum morphismsSpecial cycles and Picard groups of Baily--Borel compactificationsStability conditions on Calabi-Yau threefolds of type KOn the Witt liftability of quasi-F-split Calabi--Yau varietiesSheaves on quoric manifoldsOn the motivic approach to the Abhyankar rectifiability problem and concrete rectificationsOn the Supersingular reduction of Cubic fourfolds with Complex MultiplicationEquivalence of freeness and higher order freeness of hyperplane arrangementsExistence of weak Landau-Ginzburg models for weighted complete intersectionsTransverse rational curves and the homogeneity of contact Fano manifoldsExamples of rigid Twistor D-modulesDimensions of Fano schemes of lines on hypersurfacesIntrinsic Non-Reductive Geometric Invariant Theory and Moduli Spaces of Principal Bundles with Non-Reductive Structure GroupsA Gasch\"utz Lemma for linear algebraic groups with applications to the Riemann-Hilbert correspondenceAmitsur groups of Imprimitive Fano ThreefoldsSpectral Structures on Vector BundlesLogarithmic transformations on the six-sphereThe inverse local-relative correspondence and the Nekrasov--Shatashvili vanishing blowup equationGeneralized Iskovskikh surfaces and unirationality of del Pezzo surfaces of degree $2$Point Corrections and Wall-Crossing Geometry on the Quintic del Pezzo ThreefoldBloch's conjecture for (anti-)symplectic automorphisms of K3 surfacesBalancing tautological intersection number...

構造的幾何学と安定性理論 - 2026/10/28の論文48本

Oct 28, 2026 1 hr 38 min

arXiv math.AGの新着論文48本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-10-28/ Elementary Moves on Ideal Webs, Local Monodromies on Hitchin Fibrations, and Tropical Mutations on $\mathrm{K_0}$ GroupsK3 surfaces with finite automorphism group in positive characteristicMotivic $C_p$-power operations in $\mathrm{MGL}$A vanishing-cycle obstruction to smoothing Calabi-Yau threefoldsNonvanishing implies abundanceThere are no unexpected toric positroid varietiesSmoothing Calabi-Yau threefolds with nodes and del Pezzo cone pointsFinite Symplectic Automorphisms of Hyperk\"ahler Manifolds of $K3^{[n]}$-Type Act Trivially on Discriminant GroupsParametrized Jacobian Problem over $\mathbb{C}^n$ and its Complete ResolutionGeometric priors for single-patch neural Calabi--Yau metrics on the quintic: a conservative fixed-$\psi$ Ablation studyOn Thom Polynomials for $\mathcal{A}$-singularities of parametric curves and degeneracy loci formulasOn Open Borel Orbits in Conormal Bundles to Schubert CellsSome Coble surfaces admit only Bertini involutionsOn the existence of polarized varieties without weakly Ulrich bundlesRank two cohomology jump loci on projective varietiesSheaves on polynomials and polynomial sheavesTropical spin Hurwitz numbersQuartic Keller Maps and Tameness in Three VariablesCluster type smooth Fano threefoldsThe Legendre potential and the gradient case of the differential Galois criterion for the Jacobian ConjectureDecompositions of birational toric morphism between threefoldsThe numerical range of limits of real rational functionsOn finite covers of projective spaces, generic outside of codimension threeTopology of rational equivalence closures and Lawson homologyBethe Cycles, Frobenius Identities, and Quantum/Classical DualityKlt varieties with semipositive anticanonical bundle : symmetric tensors, holonomy and structureBridgeland stability and Gieseker stability I: Limit stabilityAll Strict Calabi--Yau Threefolds of Heig...

ホッジとWeilとスキームの構造 - 2026/10/27の論文48本

Oct 27, 2026 1 hr 35 min

arXiv math.AGの新着論文48本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-10-27/ Automorphisms and Hodge isometries of surfaces with $K^2=p_g=1$GKZ Systems and Gauss-Manin Connections of Families of Projective HypersurfacesMovable Curves and Ample Normal BundlesBrauer--Manin obstruction for Weil restrictionsUniform asymptotics and the Weil--Petersson constantExplicit equations of three pairs of fake projective planesGlobal invertibility of polynomial mappings and connectedness of preimages of large spheresThe generalized Dixmier conjecture and the two-dimensional Jacobian conjectureDelta Characters and Ranks of Minimal Subisocrystals of Abelian SchemesHodge--Deligne polynomials and $S_n$-representations on the cohomology of $\overline{\mathcal M}_{2,n}$Fine points of the moduli space of cubic rational mapsOn the Torsion Subgroup of the N\'eron--Severi GroupRecovering the Topology of a Real Plane Algebraic Curve by Tropical HomotopyIndeterminacy of period map and Griffiths heights for hypersurfacesSpectra, Growth, and Localization in Half-Bounded Tensor Triangular GeometryCorrelation inequalities for volume polynomialsHodge Theory and Grobner DegenerationsSheaves on nodal singularities IElementary transformations of toric vector bundlesVoevodsky's motives and zeroth slice of motivic sphereSharp effective Nullstellensatz for projective Cohen-Macaulay schemesOn irregular threefolds of Kodaira dimension twoAutomorphisms of $\mathbb{P}^1$-bundles over rational surfaces in positive characteristicQuasi locally free sheaves on primitive double schemesMustafin degenerations of six points in the projective plane and self-dualityFiniteness of algebraic Weil-Petersson totally geodesic curves in pointed moduli spacesNumber of equations defining the Kummer varieties of hyperelliptic curvesUniversal polynomials for Gromov-Witten invariants on toric surfacesDeformations of the logarithmic tangent bundle of smooth projective surfacesUniquen...

Calabi-Yauと完璧体とスペクトル曲線 - 2026/10/26の論文26本

Oct 26, 2026 52 min

arXiv math.AGの新着論文26本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-10-26/ On the Hodge conjecture for hyper-K\"ahler varieties of generalized Kummer type of dimension divisible by fourChern-Schwartz-MacPherson classes of symmetric powers and applicationsComparison of Logarithmic Hochschild HomologiesKashiwara's Lemma for Potent D-modulesTropical cohomology for band schemes over the tropical hyperfieldOn polarizations of affine Calabi--Yau varietiesPower Sum Varieties over Finite FieldsMotivic local density of isolated singularities of algebraic varietiesReflection groups on smooth projective threefoldsJacobian layers and higher Milnor sequences: rigidity, stabilization, and log-concavityDeformations of cohomology classes and spectral sequencesOn quasi-Albanese morphisms for log canonical Calabi-Yau pairs II$G_0$ of complete split toric varietiesKazhdan--Lusztig Polynomials for permutations with $P_{\mathrm{id},w}(1)=3$ and Irreducible Singular LocusRank 3 curve semistable Higgs bundles: the nilpotent caseThe Verra involution on special cubic fourfoldsFoliations on abelian surfaces in positive characteristicRelative Langlands duality for linear periodsOn perfectoid idealsSingular Loci of SL2(C)-Representation Varieties of Torus Knot GroupsContributions to the Stable Derived Categories of Gorenstein RingsMeromorphic approximation of holomorphic maps into algebraically elliptic projective varietiesQuivers with Involutions and Shifted affine $\mathrm{i}$Quantum groups via Coulomb BranchesNoetherian local rings without perfectoid towersA genus-two spectral curve of the Riemann $\Xi$-function: Real Structure and Certified Arithmetic Separation of PeriodsStructure and Exact Certification of Nonnegative Tensor Decompositions

幾何学的構造と代数解析 - 2026/10/23の論文30本

Oct 23, 2026 1 hr 0 min

arXiv math.AGの新着論文30本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-10-23/ Denominators of Hodge integrals and Minkowski numbersRelative Hitchin fibrations and endoscopy for Unitary Friedberg--Jacquet varietiesAsymptotics of local height pairing without Hodge conjectureThe dual complex and RC-invariant functorsObstructions to deforming space curves lying on a complete intersection of quadricsUniformity of the minimal exponent on the GIT boundary of projective hypersurfacesThird-Order Weierstrass Points on Plane QuarticsThe classification of smooth 3-fold flopsThe taming of 3-fold flopsGamma conjectures for Milnor hypersurfacesPositivity of supercritical LYZ pairsThree-dimensional noncommutative Fano minifoldsLog blow-ups and global resolutions in rigid geometryCohomology of integral structure sheaves for open varietiesThe Penrose Correspondence over a Non-Archimedean FieldAn asymptotic $\Gamma$-BMT inequalityLocal heights for nef toric compactified divisorsA semiampleness result for hyperk\"ahler fourfolds and smoothings of Lagrangian subvarietiesThe generic splitting type of the logarithmic bundle of an arrangement of at most sixteen lines is combinatorialLeafrians, Poisson structures, and Frobenius splittings on moduli spacesAlmost simple subgroups of the space Cremona groupQuantum field theory and four-manifolds: Perspectives from physics and geometryIsogenies of Oriented Elliptic CurvesThe symplectic leaves of the affine Poisson $C^\infty$-scheme associated with a singular subalgebroidAspects of quadratic Chabauty via modular formsAnalytification and tropicalization via hyperfields and definable typesRigidity, flexibility, and a sign errorThe center is the formal internal automorphism groupTriple Quantum Schubert CalculusQuantum K-structure constants and cylindric Grothendieck polynomials for Grassmannians

A判別式と接続と反例 - 2026/10/22の論文20本

Oct 22, 2026 40 min

arXiv math.AGの新着論文20本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-10-22/ Closedness of bounded strength and partition rank lociThe Logarithmic A-DiscriminantModuli spaces of logarithmic connections associated with difference Painlev\'e equations of type $E^{(1)}_n$Derived categories of threefolds near the Noether lineGermwise singular Fourier--Mukai partnershipsLax descent and foliated Verdier dualityOn the gap of thresholdsThe recent counterexamples to the Eisenbud-Schreyer-Weyman Ulrich problem (2003) and to Hochster's small Cohen-Macaulay conjecture (1973): a survey, with a generalization to arbitrary dimensionOn OpenAI's proof of the Nagata conjectureAlternative moduli of twisted curvesPontryagin-Thom, $\pi_0$ of the motivic sphere, and principal quadratic divisorsOn the gradient conjecture at infinity: Finite spherical length for gradient trajectories of definable potentialsRamification and Finiteness of Equivariant Minimal SurfacesGeometric knowledge spaces, Attention pairing and ArchitecturesTopological degree of fewnomial mapsLinear Complementary Pairs of MDS Codes from Elliptic CurvesThe Kemper--Malle conjecture and isolated linear quotient singularitiesNashtopes and their A-discriminantsMackey formulas for smooth stacksReflection functors for non-simply-laced quiver varieties

スタックとホッジ理論とモジュライ - 2026/10/21の論文31本

Oct 21, 2026 52 min

arXiv math.AGの新着論文31本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-10-21/ The integral $K_0$-ring of the stack of smooth hyperelliptic curvesHodge Theory of Novikov Type Landau--Ginzburg ModelsSecondary Chow Invariants beyond Lawson--Massey ProductsTerracini loci of tangential varieties of VeroneseansNef complexity of klt Fano varieties: the full spectrum and classification below twoLattice Moduli and Residual AtomsThe $m=2$ amplituhedron is a positive geometryRational analytic prismatizationMass Deformations and Sheets in Logahoric Higgs ModuliClassification of SNC $(p,k)$-planes with Hodge structures of K3 typeHarder-Narasimhan Filtrations of Hyperquiver RepresentationsReal Nullstellensatz for nilpotent Lie algebrasDivisors on regular Hessenberg varieties for h=(2,3,4,...,n,n) associated to lower subsetsThere are no Miyaoka--Kobayashi octicsThe stacky approach to de Rham-Witt cohomologyA Twisted bidifferential, second fundamental form of Prym map and projective structuresTwisted group codes of dimension 2 and 3Convergence and semisimplicity of big quantum cohomology of flag varietiesExistence of Ulrich bundles on polarized surfaces and weakly Ulrich bundles on polarized varieties in positive characteristicACM, almost Ulrich, and Ulrich vector bundles arising from FrobeniusQuadratic hulls of osculating varieties of rational normal curvesHigher-order tangent lines to smooth hypersurfacesFlux Vacua, Asymptotic Periods, and Relatively Anosov RepresentationsThe Projective Reed-Muller Code from Quartic Curves in the Projective PlaneOn Hankel Determinantal MatroidsA new class of smooth algebraic varieties with the density property and a counterexample to the T\'{o}th-Varolin ConjectureFourier Decomposition and E-Eigenvalues of Hypergraph Polynomials over Finite Abelian GroupsUnconditional Subexponential Arithmetic Circuits\ for Positive Factorial MultiplesDo Neural Models Prefer Their Submodels?Matrix divisors, Christoffe...

特異点とモジュライ空間とモチーフ - 2026/10/20の論文66本

Oct 20, 2026 1 hr 49 min

arXiv math.AGの新着論文66本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-10-20/ Invariants of big classes from asymptotic total Betti numbersCodimension of Brill-Noether Loci on Abelian Surfaces and the First Segre InvariantThe Yau Geometric Conjecture for Isolated Hypersurface SingularitiesDerived equivalences and isogenies of supersingular abelian varietiesOn the classification of threefold flopsAlp\"oge's counterexample to the JC, Economic Stabilization, and Zhao's Vanishing ConjectureWeighted homogeneous surface singularities admitting rational homology disk smoothingsThe section conjecture for generic pointed curvesThe genus of a curve on Calabi-Yau threefoldsNon-existence of Negative Weight Derivations of the Moduli Algebras of Isolated Weighted Homogeneous Hypersurface SingularitiesFinite Symplectic Automorphism Groups of K3 Surfaces in Characteristic SevenProjective Decomposition and Intersection Cohomology of Rigid SpacesIsotropy of symplectic involutions and motivic equivalence for groups of type $\sf{C}$$G$-birational rigidity of the $G$-Fano variety $\mathbb{P}^1 \times \mathbb{P}^1 \times \mathbb{P}^1$Torsion Cycles in Projective Threefolds:From Serre's Construction to Artin-MumfordCategorical Torelli theorem for smooth Fano varietiesOn elements of degree $g$ in the separating semigroup of a real curve of genus $g$Torelli theorem for the moduli spaces of twisted vector bundles on smooth projective curvesLefschetz Properties of complete intersesctions and maximal variation of hyperplane sectionsThe blow-up of the cubic fourfold along eight planes is FanoSuperschemes and supermanifolds with free $\mathbb{A}^{0|n}$-actionEquivariant deformation theory and deformations of homogeneous varietiesOn solutions to tropical Monge-Amp\`ere equationsNegative Values of Wahl's Second Chern Number for Normal Surface SingularitiesNon-existence of negative weight derivations on Jacobian algebrasThe classification of taut surfac...

構造とコホモロジーと不変量の研究 - 2026/10/19の論文30本

Oct 19, 2026 59 min

arXiv math.AGの新着論文30本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-10-19/ Computing S(X) for Ruled Surfaces Defined by Stable Bundles on Curves of Genus 2Generic vanishing for Dolbeault cohomology of mixed Hodge modules on abelian varietiesVector bundles on singular surfaces and threefoldsHypercube Richardson varieties from magic words$a$-numbers of covers in characteristic two: semigroups and Riemann-Roch spaces$R$-trivial Galois cohomology classes and cohomological $p$-dimensionLow-weight compactly supported cohomology of $\mathcal M_{g,n}^{ct}$ and the extended Torelli morphismThe geometric exceptional set for Fano threefoldsSeven ordered points and the nonexistence of arithmetic ball quotient compactificationsWeighted configurations and the nonexistence of arithmetic ball quotient compactificationsAmbient Chow Rings of Debarre--Voisin Fourfolds and the Beauville--Voisin ConjectureBrauer-Manin obstruction for symmetric powersSmooth Limits of Stable ManifoldsLefschetz Pencils on surfaces and an application to Seshadri constantsmixed Hodge structures on the strictly upper triangular Lie algebrasOn the crystalline Artin--Mumford invariantLocal topological zeta functions of generic symmetric and catalecticant determinantal varietiesSpectral networks, finite webs, and the $T_3$ cubic differentialDeligne--Faltings Logarithmic Derived Geometry with a View towards Logarithmic GLSMTwisted $\mathbb{A}^1$-degrees of Wronski mapsPresentability of categories of localizations and analytic ringsSemialgebraic ${C^m}$ solutions to a univariate system of linear inequalities with Nash forcingApproximation and extension theorems for normal affine toric varietiesA cubulation of the associahedron using a torus-equivariant degeneration of the brick varietyPoint Modules of Non-Connected Graded AlgebrasFolding to the Bessel-Clifford system, and Equivariant Topological RecursionA Topological Quantum Field Theory for Representation Varietie...

複雑な多様体と代数的な構造 - 2026/10/16の論文38本

Oct 16, 2026 1 hr 16 min

arXiv math.AGの新着論文38本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-10-16/ Nilpotent Deformation Theory via Ultrasolid AlgebraLinear Independence of Polynomial Compositions with Bounded Input DegreeNormal complex surface singularities with rational homology disk smoothingsA $p$-adic Riemann--Hilbert correspondence over Robba ringsPositivity of Wahl defects and representations from index-one coversNonlinear neighborhoods of smooth curves and arbitrarily negative Wahl defectsA refinement of the strange duality conjecture on K3 surfacesFundamental Groups and Coregularity: Klt Pairs with Trivial and Nef Log-Anticanonical ClassGood stratifications of non-degenerate locally tame complete intersection varietiesComplete homogeneous varieties over a fieldQuotients of Calabi-Yau Generalized Fermat manifolds and Log Enriques varietiesThe linear positive torsor presentation and arithmetic purity of strong approximationThe space of polarized compactifications of an affine varietyReconstruction of Fano manifolds from the orthogonal to an exceptional vector bundleDeep Learning of Topological Equivalence ClassesPerfectoid Pure and Signature PairsThe monodromy conjecture for high order poles, and norms of residue antiderivativesGluing weak approximability along recollementsSeries of Fano quiver moduli from extended Dynkin quiversDeterministic Determination of Axial Constants, Sectional Regularities and Annihilator NumbersTensor-generating line bundles on toric varietiesIntegral and higher-genus quantum McKay correspondence in type DHolomorphy rings and the Nullstellensatz over large fieldsCoefficient lifting for skew divided differences and triple Schubert coefficientsUnderstanding entropy using Aubin--Yau deformationsAsymptotics of the Moduli Spaces of Parabolic $\mathrm{SL}(3,\mathbb C)$-Higgs BundlesMatrix Completion DiscriminantsFrey-Mazur theorem for semistable elliptic curves over function fieldsOn the variety of sum of powers o...

多様体と束とトポロジーと数論 - 2026/10/15の論文27本

Oct 15, 2026 54 min

arXiv math.AGの新着論文27本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-10-15/ Reversible Higgs BundlesRemarks on Lattice Actions Corresponding to Automorphism Groups of Smooth Cubic FourfoldsOn the Arnold corank, the Zariski multiplicity, and the tangent Milnor fiber problemsBirational maps of moduli spaces of stable sheaves on a K3 surface induced by Fourier-Mukai transformsFourier-Mukai transforms by a family of stable sheaves and preservation of stabilityAlgebraically Integrable Smooth Convex BodiesMaximum Likelihood Degrees via One-Edge Chordal CompletionThe regular inverse Galois problem over fields avoiding a curveThe volume of foliated surfaces with geometric genus oneOn deformations of foliated complex analytic structures III: UnfoldingsOn the Topology of Fibers of Rational FunctionsMarkman--Markushevich principle and Lagrangian fibrations on O'Grady six-manifoldsUniform non-homogeneous vector bundles: A counterexample to the conjecture of Dr\'ezet and Ballico-Ellia$\chi$-Independence for BPS Invariants of Warped Local CurvesStable atomic vector bundles are 1-obstructedChow groups of symmetric products of projective spaceOn the Structure of Radical Towers and their ParametrizationsDeformations of Holomorphic $p$-Contact StructuresA prismatic Riemann-Hilbert correspondenceSmoothness criterion for Fano orbifolds and bases of Lagrangian fibrationsAn algebro-geometric approach to profinite iterated monodromy groupsArithmetic Visibility in Polygons: Curved Sight in the Art GalleryGaudin from CherednikThe parity module of a matroidGCD and ABC inequalities for abelian varieties over function fieldsTopological recursion for spin enumeration of hypermapsArithmetic Siegel--Weil formula on the product of modular curves

構造と不変量とスペクトラ解析 - 2026/10/14の論文86本

Oct 14, 2026 2 hr 43 min

arXiv math.AGの新着論文86本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-10-14/ Cominuscule Richardson varietiesGeneralized Bogomolov--Gieseker inequalities via FrobeniusSeparating components of real algebraic varieties by cohomological invariantsIrrational families of Fano weighted complete intersection fourfoldsRemarks on the monodromy conjecture for symmetric determinantal hypersurfacesLifting Prym Divisors on a Bielliptic Loop of LoopsFrobenius liftability of isolated complete intersectionsDegree growth of rational and meromorphic self-mapsCohomology ring of the strata of holomorphic differentials of genus 3Two-Dimensional Torus Action on the Quadric Threefold and GW-DT-GV CorrespondenceModuli descriptions of v-sheaf local modelsGeometric and homological interpretations of tensor flattenings$\ell$-Independence, slopes, and weights of $\ell$-adic cohomology groups of rigid spacesAspects of deformation invariance of plurigenera of K\"ahler varietiesDimensions and maximal-dimensional components of higher commuting varieties of symmetric pairsHyperelliptic curves on $K3$ surfacesA three-block higher-rank deformed Hermitian--Yang--Mills correspondence on $\mathbb P^1\times\mathbb P^1$Generalized Thom Spectra, Conjugate Stacks, and truncated Brown-Peterson SpectraOn the existence of Gorenstein injective coversImproved Upper Bounds for the Rank of the Determinant Tensor via Glynn's FormulaWaring rank of certain complete intersection formsCounting matrices with given characteristic polynomialAutomorphisms of medium algebras and quasi-anisotropic real affine GrassmanniansLattice Bruhat intervals are polytopal$a$-Numbers, higher Cartier ranks and maximality of van der Geer-van der Vlugt curvesPlane Cremona maps preserving a Euclidean volume formPrivileged $\mathrm{SL}_3$-local systems are motivicp-adic Hodge theory of unipotent completions revisitedCollisions of Nilpotent Higgs FieldsUniversality of $\mathsf{CohFT}$ of $\mathsf{...

曲線と集合と形式と剛性 - 2026/10/12の論文24本

Oct 12, 2026 46 min

arXiv math.AGの新着論文24本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-10-12/ Nef Hattori classes and products of projective lines$G$-Equivariant Hilbert Schemes and Quadratic FormsAlgebraic Vector Bundles on Cluster VarietiesNormal bundles of hyperelliptic curves and uniform propagation of semistabilityA Comparison Theorem for $p$-adic GKZ Hypergeometric $\mathcal D$-Modules and ComplexesCovering plane curves over finite fields with linesBoundedness of polarized log Calabi-Yau fibrationsClassification of can-Var diagrams of mixed Hodge structures and monodromic mixed Hodge modules on $\mathbb{C}$Artin-Schreier curves of prescribed p-rank without extra automorphismsGeometry of some determinantal arrangementsGamma conjecture II and explicit Stokes data for a quadric projective bundleQuillen's local parameter conjecture in dimension fourCampana strong approximation on generalised Markoff surfacesOn the Cohomology Classes of Certain Eisenstein-Kronecker FormsMonodromy of Tate-Linear varietiesWeighted, GIT and N\'eron--Tate heights on genus-two moduli and JacobiansThe Tate Conjecture for Ordinary Calabi-Yau ThreefoldsFiniteness of planar central configurations of five bodies for all positive massesOpen WDVV equations for non-commutative families of bounding cochainsA complex associated to a family of ideals and applications to subspace arrangementsA discrete analogue of $\mathscr{N}=2$ super Weil-Petersson volumesTravel time tomography for elliptically anisotropic elastic planar mediaThe (right) homotopy between two A$_{\infty}$-morphismsBiholomorphic rigidity and symmetry breaking for domains with Bergman metric of constant positive holomorphic sectional curvature

カルビ・ヤウとハイパーケーラーとクィバーの構造 - 2026/10/9の論文40本

Oct 9, 2026 1 hr 21 min

arXiv math.AGの新着論文40本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-10-09/ Embeddings of Derived Categories of Moduli Spaces into Symmetric PowersK-Moduli Wall Crossing and Automorphic Forms for the Moduli Space of Rational Elliptic SurfacesK-moduli wall crossing for quasimaps to a projective varietyEqual-mass sunset integrals and genus-zero local Gromov--Witten theory of Calabi--Yau $n$-foldsEffective syzygies of secant varietiesAn explicit tame factorization of the four-variable Anick automorphismA Proof of Mongardi's Conjecture on Finite Symplectic Group Actions on Hyperk\"ahler Manifolds of $K3^{[n]}$ TypeToric flatness IHelly Numbers for Connected Reductive Groups and Splitting of Toric Principal BundlesInjectivity of specialization maps in critical cohomologyLoyalty of the affine line in motivic homotopy theoryLargeness of the wild locusOn Calabi-Yau varieties that are linear sections of Grassmannians of linesRational curves on toroidal compactifications of Picard modular varietiesLinear syzygies and linear subspaces whose lines are multisecantOn the kernels of Lefschetz operatorsHyperquiver varietiesHyperk\"ahler SYZ conjectureCharacteristic cycles and the Gevrey filtration of irregularity in hypergeometric familiesThe moduli space of curves of genus 16 is uniruledLocal Constancy of the Betti Automorphic Category over the Moduli of CurvesFourier quasicrystals with positive integer masses are sections of Lee-Yang cyclesThe rational homology of quotients of the curve complexThe three- and four-loop equal-mass sunset integrals and local Calabi--Yau fourfolds and fivefoldsQuantum geometry at arbitrary genus - I: Anharmonic potentialsFrobenius splitting of valuation rings revisitedCategorified Cluster Structures on Coulomb Branches of Certain Star-Shaped QuiversContinuity of the Julia sets in non-archimedean and hybrid settingsEquivariant noncommutative crepant resolutions and $G$-maximal modifying modulesUniform He...

Calabi-YauとFanoと予想の探求 - 2026/10/8の論文33本

Oct 8, 2026 1 hr 3 min

arXiv math.AGの新着論文33本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-10-08/ The logarithmic generalised Kummer locus and its tropicalisationOn the conjectural Hodge index theorem for finite quotient spaces of singular varietiesCounterexamples to the Ambro--Kawamata effective non-vanishing conjectureDolbeault Cohomology Growth under Curvature Rank BoundsThe finite-degree profile of essential dimension II: cyclic $p$-groups in characteristic $p$Projective Lifting Theorem, Complex Reflection Groups, and Quasi-Galois Points for Fermat VarietiesAnticanonical Volumes of Terminal and Canonical Gorenstein Fano FourfoldsConstruction of log Calabi--Yau boundaries from int-amplified endomorphismsEffective nonvanishing of $K$-trivial regular surfaces over imperfect fieldsRational points and inflexions on Hermitian-relative curvesMotivic Euler characteristics of moduli spaces of curvesAx-Schanuel and the rank one Riemann-Hilbert correspondenceEquivariant Unirationality of Cubic ThreefoldsA combinatorial criterion for detecting roots of Bernstein-Sato polynomialsTotally invariant subvarieties of $\mathbf P^n$Generalised Cone Conjecture, III: Non-generic Sakai surfacesCounterexamples to the Polishchuk--Van den Bergh conjecture on curvesMinkowski decompositions and universal equivariant deformations of toric pairsTransverse rational curves and the LeBrun--Salamon conjectureA reduction theorem for L\^e's conjectureAbundance for threefolds in positive characteristicCombs and complex structures on the six-sphereThe rationality problem for hypersurfaces of degree at least fiveSharp Polynomial Upper Bounds for Anticanonical VolumesAutomorphisms of general modular curvesFundamental groups of Calabi-Yau spacesLog-concavity and unimodality of cluster monomials in fan coordinates of type $A_n$Regular integral models of Shimura varieties and a conjecture of PappasPoint-balanced arrangements in the real projective plane and the Hirzebruch proper...

密度と分類の理論的考察 - 2026/10/7の論文31本

Oct 7, 2026 56 min

arXiv math.AGの新着論文31本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-10-07/ A toric Calabi-Yau counterexample to Schimpf's connected stable pairs pole conjectureDeformations of toric pairs and the smoothing of Batyrev Calabi-Yau threefoldsDeterminacy and Modality in Positive CharacteristicSchubert compactifications of matrix pencilsAlgebraic ellipticity of quartic double spacesPotential density of rational points on sextic double solidsThe finite-degree profile of essential dimension I: general theory and characteristic prime to $|G|$Indexed Logarithmic Cartier TransformSemisimplicity, purity and Mumford-Tate conjecture for hyper-K\"ahler varietiesSemiample perturbations over arbitrary fieldsHodge--Tjurina Numbers, Tjurina Spectra, and Thom--Sebastiani FormulasOn constructibility of klt type varieties and simple $D$-moduleSpecial Loci in the Moduli of CurvesOn plane Cremona maps of degree 4 and length 2Geometry of a semistable degeneration of moduli of vector bundles on curvesDerived supergeometry and perfect obstruction theories on algebraic superstacksXiao's Degree-Four Fibration and the Polizzi ModelThe unbearable projectivity of being a good moduli space of Gorenstein curves of genus one with non-colliding markingsThe Kuranishi space of joint deformations of Calabi--Yau manifolds and holomorphic vector bundlesDensities of Picard Rank Jumps for K3 Surfaces Over Global Fields$\mathcal C^m$ solutions of semialgebraic equations on curvesGeometry of massive loops in gravitational scattering: Maximal cut, Riemann's bilinear relations and genus dropDiscreteness of real $\mathrm{SL}_n$-opersDiagonal Specht ideals and their varietiesTruncation of dg categories and connective resolutionsThe Artin-Davenport conjecture on cubic formsFrom Demailly's Inequality to Harbourne--Huneke Containments for General PointsCan one hear the shape of a lattice random walk?Algebraic Eisenstein classes for $\mathrm{GL}_n$ with applications to...

トーリック多様体と束と群の構造 - 2026/10/6の論文64本

Oct 6, 2026 2 hr 1 min

arXiv math.AGの新着論文64本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-10-06/ Doubly isolated Batyrev mirror pairs and non-smoothable Calabi-Yau threefoldsFlasque resolutions of linear reductive group schemesStability of the Cotangent Bundle on Surfaces with Ample Canonical ClassFrom wall structures to closed mirror symmetry. The case of $K_{\mathbb{P}^2}$: Renormalized periods over the positive real locus, closed Gromov-Witten invariants from wall functions, and tropical enumerationThe topology of K\"ahler manifolds and 1-forms without zerosCore Coordinates and Negative Support in A-Hypergeometric SystemsZero loci of Bernstein-Sato ideals are not necessarily linearOn leading Gopakumar--Vafa invariants of local $\mathbb{P}^2$ and leading Betti numbers of moduli spaces of one-dimensional sheaves on $\mathbb{P}^2$Fake quadrics with bounded cohomology propertyDecomposition of toric sheavesSubspace concentration condition and Bogomolov--Gieseker inequalityCyclic automorphisms beyond the canonical boundOn the classification of polarized surfaces with weakly Ulrich or initialized aCM tangent bundlesCode Equivalence and Automorphism Groups of Weighted Superelliptic CodesRelative completions and separating boundary divisors in moduli of curvesCounting higher-rank sheaves on toric threefoldsUniform positivity of the tau invariantThe commuting scheme of $\mathfrak{g}_2$Weak approximation for Campana points on projective spacesRamification of the volume function close to asymptotic hyperplanes. Monodromy of boundary singularitiesThe Supertrace Defect of a Graded EndomorphismLog Sarkisov Program for strongly $\mathbb{Q}$-factorial compact K\"ahler threefoldsAlgebraic entropy of birational automorphism groups in families of hyper-K\"ahler manifoldsK-unstable Toric Varieties and Secondary PolytopesSemicontinuity for families of power series IIVarieties Admitting Polarized Galois EndomorphismsGenerically Flexible Varieties with an Inva...

安定性、鏡映、不変量 - 2026/10/5の論文32本

Oct 5, 2026 1 hr 7 min

arXiv math.AGの新着論文32本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-10-05/ On deformations of foliated complex analytic structures II: Functors of Artin ringsOn wall-crossing invariant combinations of Welschinger numbers for rational surfaces with a conic bundleThe Mumford--Tate group of a very general Lagrangian fiberRegularization and algebraic stability of birational automorphismsSharp FRS and singularity thresholds for off-diagonal Gram mapsPappas's conjecture on ramified unitary local modelsSharp Noether-type inequalities for $3$-folds of intermediate Kodaira dimensionsGrothendieck ring of varieties and at-the-characteristic numerical invariantsArakelov inequalities for fibered surfaces in positive characteristicCategorical Dynamics of Abelian VarietiesExtension of solvable coverings across horizontal divisors over the integersCanonical extensions of ruled surfaces over elliptic curvesMultiplicativity of the perverse filtration in the $\mathrm{SL}_n$ caseAmple stability implies rigidity for quiver moduliBetti Numbers of Odd Biisotropic Symplectic GrassmanniansK-stability of a class of smooth Fano complete intersectionsMond's conjecture for corank-one maps from $\mathbb C^3$ to $\mathbb C^4$Super Teichm\"uller SpaceQuantum cohomology, Hitchin systems, and Fourier--Mukai comparisonSimpson's closedness conjecture in arbitrary rankRationality of varieties and $\mathbb{A}^1$-homotopy theoryMirror symmetry for gCICY threefolds (II): $[3,-1]$ blocks, VGIT, and toric phasesMirror symmetry for gCICY threefolds (I): a $[3,-1]$ block and a non-Gorenstein toric phaseSmall Lefschetz fibrations on the BMY lineNon-Malleable Affine Extractors with Small Error and Complexity Lower Boundssome arithmetical aspects of the two dimensional jacobian conjectureCohomology of Linearly Constrained Kloosterman Families: Newton Polytopes, Weights, and Boundary MonodromyCubic arithmetic-geometric mean and isogenies of Hesse elliptic curvesPel...

Conifoldとモジュライとホッジとフロベニウス - 2026/10/2の論文44本

Oct 2, 2026 1 hr 27 min

arXiv math.AGの新着論文44本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-10-02/ Direct Group Laws on Classical Genus-One ModelsCategorical Torelli theorem for (weighted) hypersurfaces via singularity categoryCompleted cycle transfer and the conifold gap for (P^2, E)A characterization of the Ree curveAll Genus Gopakumar-Vafa Reconstruction from Central Difference ForcingPentagram relationsDerivative and multiplicity loci of elementary symmetric polynomials in positive characteristicContraction Algebras, Cyclotomic Forms, and Reflection RigidityMotivic Vanishing Cycles at Infinity and Toric Landau-Ginzburg Mirror SymmetryTranscending Algebraic GeometryA Pluripotential-Theoretic Approach to Finiteness of Polarized Calabi--Yau ManifoldsStratification of Joint Moduli Spaces of Higgs BundlesSupermoduli spaces are non-projected in every genus $g\geq 3$Automorphisms of hypersurfaces in polarized varietiesVerdier-Type Category, Geometric Serre's conditions and perversityAn elliptic Calabi-Yau threefold of Mordell-Weil rank twelveAbeloid varieties over higher rank valued fields: Raynaud uniformization and N\'eron modelsStability of representation cohomology sheaves on moduli spaces of bundlesConifold factorization in topological recursion and Gromov--Witten theoryAn explicit form of the standard conjecture of Hodge type for Hermitian varieties, with $p$-adic applicationsDihedral reflections and an infinite series of irrational Seshadri constantsCohomology of the fine compactified universal Jacobians $\overline{J}_2$ and $\overline{J}_{2,1}$Euclidean Distance Optimization Within the GrassmannianQuasi-modularity of $q$-traces and integrals over Hilbert schemesGW/PT-correspondence for CY 4-folds-I: Canonical OrientationsThe Nash manifold of four-point configurations modulo similarity subgroupsHigher-Page Jacobian and Albanese ToriIntrinsic semistable reduction loci for the iterations of non-archimedean quadratic rational functions and...

多様体の構造と対称性の探求 - 2026/10/1の論文33本

Oct 1, 2026 1 hr 5 min

arXiv math.AGの新着論文33本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-10-01/ Complex structures on $S^6$Zero velocity Lagrangians in the Hitchin systemIntrinsic mirror symmetry for orbifold cubic surfaces and the $A_1$ spherical DAHAFinite automorphism groups of hypersurfaces via Bott vanishingThe Bias Conjecture for One-Parameter, Non-Isotrivial Elliptic Curve FamiliesSupersingular Tate conjecture for irreducible symplectic varieties of known types: IDivisors and harmonic morphisms on metric Graphs of pseudocompact typeOn algebraic dynamics of birational automorphisms of Calabi-Yau manifolds and the universal Coxeter groupsQuasi-Projectivity of Weighted Right-Angled Artin GroupsCanonical representatives and interval independence in Ekedahl's equivalenceNormal Bundle Splitting Strata of Rational Curves in Toric VarietiesQuivers variety for affine orthogonal quiverNon-commutative Fano varieties and three-dimensional minifoldsPotential isotriviality of isocrystals and proper coversOn the quadratic length of plane Cremona maps of degree 4A rational surface with discrete and non-finitely generated automorphism groupStructure of higher-genus open-closed Gromov--Witten theory of $\mathcal{O}_{\mathbb{P}^{1}}(p-1)\oplus\mathcal{O}_{\mathbb{P}^{1}}(-p-1)$Symmetric-determinant apolarity in odd characteristicConformal blocks for modular vertex algebrasA combinatorial interpolation between the hypercube and the associahedronCompact multi-monopole moduli spaces on K\"ahler surfacesPrime Ideals and Projective Closure in the Boolean Polynomial SemiringProfinite completions and cohomology jump lociOn the coefficients of the asymptotic of analytic torsionSingularities of orbit closures in loop spaces of symmetric varieties II: twisted casesLimit F-invariants of the simple singularities and the Fermat hypersurfacesLimit distribution of algebraic integral points on curvesA Thomas-Yau-Joyce result for Lagrangian spheres in K3 surfacesInva...

FanoとK3とモチフとコホモロジー - 2026/9/30の論文39本

Sep 30, 2026 1 hr 18 min

arXiv math.AGの新着論文39本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-09-30/ Finite generation of relative log canonical algebras of semi-dlt pairsGlobal Sections and Birational Geometry of Calabi-Yau Type VarietiesRealizability of Cohomology Classes in Orthogonal GrassmanniansRigidity conditions for binomialsCalculating Hodge and weight filtrations on localizationsVanishing of degree $3$ unramified cohomology over finite fieldsMotivic classes of Fano schemes of lines on intersections of two quadricsThe $F$-signature Function on the Big ConeFailure of semipositive metric extension in a smooth projective familyFiniteness of the Chow ring of $\mathcal{M}_{5,10}$Nonexistence of maximal curves of genus five over $\F_{64}$From $3$-spin to Negative $r$-spin: Limits of Cohomological Field Theories and Tautological RelationsVoevodsky motives and motives with modulus with finite coefficients in characteristic zeroJump of the Milnor Number in Linear Deformations with Fixed OrderRationally connectedness and O'Grady's generalized Franchetta conjecture for K3 surfacesDegenerations of shifted symplectic moduli stacks of sheavesArakelov inequalities and characterization of totally geodesic ball quotients in $\mathcal{A}_g$Weighted projective spaces admitting $\mathbb Q$-Gorenstein smoothings to $\mathbb P^3$Weighted projective spaces admitting $\mathbb Q$-Gorenstein smoothings to Fano threefolds with Picard number oneSome applications of the moduli space of $U\oplus D_8(-1)$-polarized K3 surfacesFano orbifolds admit free Campana curvesOn the Hilbert polynomial of the linked projective spaceExceptional Loci and Hyperbolicity of Complements of Plane Curves with $\bar{c}_1^2 - \bar{c}_2 > 0$Isotropic localizations of mixed initial motivesMordell--Lang plus Geometric BogomolovDeep Points of Cluster Algebras II: Punctured Marked SurfacesThe opposite of admissibility for local systems on line arrangementsSolver Agent: an Agentic AI Framewor...

モジュライ空間とカラビ・ヤウと特異点 - 2026/9/29の論文50本

Sep 29, 2026 1 hr 42 min

arXiv math.AGの新着論文50本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-09-29/ Recovering curves from isogeny classes of Prym varietiesA construction of polyptych lattices via a pair of Gorenstein PL conesRiemann-Roch for 0-cycles on a singular varietyThe moduli space of torsion-free sheaves with quasi-maximal third Chern classWeak positivity and weak flatness of vector bundlesLarge automorphism groups of curves of zero $p$-rank in odd characteristicLandau--Ginzburg mirror symmetry for ADE singularitiesEquivariant principal bundles over toric Deligne--Mumford stacksCoordinate descents, monodromy, and finite normalization of marked-root mapsOn the algebraicity of non-abelian Noether-Lefschetz loci of rank-two real local systemsA generalized Terao Conjecture for line arrangementsUniform Unicellular Dessins d'Enfants with Trivial Automorphism GroupsFull termination of MMP for klt pairs with big boundariesObstructions to the ampleness of invariant jet differentials on complete intersectionsEquivariant Riemann-Roch for Surfaces via Connections and ResiduesA two-parameter family of complex structures on $S^6$Perfectoidness of Proper Shimura Varieties With Limpid Integral ModelsQin's quasimodularity conjecture for Hilbert schemes of pointsOn the generalized Ree curveThe monodromy of Xiao's genus-two fibrations in degrees 3, 4 and 5Gauss--Manin connections extend to holonomic coadmissible D-cap-modulesLog Calabi-Yau wall crossing for moduli of cubic surfacesHigher dimensional local class field theoryConnectivity of the slice filtrationLarge cyclic automorphism groups and cyclic subgroups of index two in characteristic twoOn the De Rham Cohomology of Zero-Dimensional SchemesOn deformations of foliated complex analytic structures I: Theorems of existence and completenessDegeneration of Calabi-Yau threefolds with Galois action induced by modular form of weight 3Artin vanishing along the $\ell$-adic tower of an abelian varietyMaximal...

モジュライ空間と層と群スキーム - 2026/9/28の論文22本

Sep 28, 2026 44 min

arXiv math.AGの新着論文22本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-09-28/ Moduli Spaces of Twisted Endomorphisms and Euler CharacteristicsThe geometry of solutions to the general sexticFourier-Mukai partners and autoequivalences of moduli spaces of vector bundlesSymmetry and solvability: Galois groups of equivariant enumerative problemsDemazure Models of Algebraic Tori in Dimension 4Cartier--Dieudonn\'e Theory of Connected Group SchemesThe norm principle for extended Clifford groupsSpecial Cohen--Macaulay sheaves on partial resolutions of rational surfaces singularitiesOn the support of double Grothendieck polynomialsNon-vanishing of the structure-sheaf cohomology of affine henselian schemes and henselian affinoidsUniversal Formulas for de Jonqui\`eres Loci and Equivariant Contact ProblemsOn the transcendental Yau-Tian-Donaldson ConjectureFundamental groups of complements of wobbly divisors in intersections of two quadricsTeichm\"uller and moduli spaces for complex nilmanifoldsFourier duality on compactified Prym fibrationsRational homotopy theory of flag manifoldsPhoton spheres, elliptic surfaces, and Seiberg-Witten geometryRevisiting three-dimensional GLSMs and K-theoretic I-functionsNontransitivity of braid group actions on exceptional bases in $K_0(\mathbb{P}^n)$ for $n=4,6$Profinite Non-Rigidity of Arithmetic Lattices and the K\"ahler PropertyCompletely monotone negative powers of hyperbolic polynomialsFormal groups and $(\varphi,\Gamma)$-modules

トーリックとモジュライとミラー対称性 - 2026/9/25の論文40本

Sep 25, 2026 1 hr 18 min

arXiv math.AGの新着論文40本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-09-25/ Projective blowups: a formal and multicentered proofReducibility and Diagonal Equality Strata for Finite Jacobi PencilsCongruence spectra and geometric reconstruction of $\boldsymbol{T}$-algebrasBulk-deformed enumerative mirror symmetry for toric Fano surfacesThe GIT of 4x3x3 tensors (determinantal cubic surfaces)Affine Spherical Mass and a Gaussian Kinematic Formula for Tropical Two-FansNon-smoothable Calabi-Yau threefolds from reflexive polytopesPlanar rank-one sheaves on $\mathbb{P}^3$, obstruction bundles, and divisor-supported Donaldson--Thomas seriesBondal--Orlov reconstruction for tame stacks with trivial generic stabilizerSquaring Up by Selection: NP-Completeness at Three Simple RootsA Strong Global Torelli theorem for OG6 type varietiesThe Serre-Grothendieck Finiteness Theorem for the cohomology of coherent sheavesTorelli theorems for moduli stacks and twisted moduli spaces of vector bundlesRamification of the moduli map for hyperplane sections of K3s and hypersurfacesStringy Irregular Hodge Numbers for Non-Simplicial Toric Landau--Ginzburg DataCartan Determinants in algebraic geometryOn the Analyticity of Amoeba ContoursBeyond Harnack RigidityCompact Complex Threefolds Fibred by Two-Dimensional Complex ToriSpecht ideals for the imprimitive complex reflection group $G(r,1,n)$: geometric orbit types and a dominance theoremA generalized Saito criterion, from line arrangements to curvesUniform Tur\'an estimates and sharp bounds for degree and mixed orbit growthAn irregular smooth Fano fourfold in positive characteristicA Hochschild-Kostant-Rosenberg type theorem for coherent matrix factorizationsA Secondary Multiplicative Structure on Lawson HomologyGeometry of Newton homotopies: bivariate caseFrobenius lifts and point counting for smooth curvesA Peterson program for general Schubert varieties and mirror symmetryEquivariant bordism rigidi...

ホッジ理論とベクトル束と多様体 - 2026/9/24の論文39本

Sep 24, 2026 1 hr 19 min

arXiv math.AGの新着論文39本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-09-24/ A smooth quintic surface with 85 lines and Picard number 43The non-abelian Hodge correspondence for extensions on quasi-projective curvesEuler characteristics of strata of $k$-differentialsOpen extension of a genus zero Hurwitz-Frobenius manifoldDegrees and directional defects of embedded algebraic vector bundlesLinear Algebra and Algebraic Geometry: A Matrix Construction for Classifying Families of Algebraic Curves with No Solutions in Z^+Harder-Narasimhan filtration of torsion F-gaugesThe minimal volume of normal stable surface pairs with reduced boundary containing a zero-dimensional non-klt centerRigid and obstructed tangent bundles on Calabi--Yau threefoldsLengths of Hodge characters in Fermat varietiesOrbits in stability manifolds and categorical entropy: applications to varieties with finite Albanese morphismsLandau singularities and convex geometryA Topos-Theoretic Approach to the Logarithmic Cartier TransformOn the local theory of non-archimedean psh functionsSymmetric differentials on hypersurfaces in weighted projective three spaceNon-algebraicity of Deligne--Hitchin twistor spacesSearching Schemes With $p$-Adic Neumann Boundary Value ProblemsThe Tate conjecture for powers of abelian fourfolds and the Hodge conjecture for powers of CM fourfolds105 families of Fano threefolds in positive characteristic$\mathbb{A}^1$-connectedness of moduli of vector bundles on a stacky curveConstructing Rational Curves via Jets on Projective Varieties with Non-Nef Canonical BundleRamond from Random: Weil-Petersson Volumes for Super-Riemann surfaces with NS Boundaries and R Punctures$N=1$ Supersymmetry, Weil-Petersson Volume Recursion, and a Spectral CurveA boundary-addition identity for Weil-Petersson volumes and their supersymmetric generalizationsAlgebraically primitive Teichm\"uller curves in \Omega\mathcal M_g(2g-2)^{\mathrm{hyp}}The Primitive Gen...

モジュライとホッジ理論とカラビヤウ - 2026/9/23の論文29本

Sep 23, 2026 1 hr 1 min

arXiv math.AGの新着論文29本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-09-23/ Local Logarithmic Cartier TransformPrincipal Minors and Absolute ValuesExistence of coarse moduli superspaces for Deligne--Mumford superstacksThe Lange-Stuhler Theorem via GerbesEquality and iso-duality of Generalized Geometric Goppa codesAn analytic construction of the universal moduli space of $\mathrm{SL}_r(\mathbb C)$-Higgs bundlesSymbols at infinity and Lie algebras of vector fieldsA Fan Algorithm for Chow-Witt Rings of Smooth Projective Toric VarietiesCuspidal Cubic Projective Foliations: Global Rigidity, Deformations, and Pull-BacksIrregular Hodge Bundles for Deligne--Mumford Landau--Ginzburg Families with Fixed Pole Orders$\mathbb{P}^1$ Homotopy Theory of SchemesTwo-flag degenerations and real circles tangent to three conicsGeometric Detection and Finiteness of Crystalline Local SystemsBernstein-Sato ideals for free hyperplane arrangementsIrrational Seshadri constants from dihedral orbitsTropicalization and degeneration of short flag varieties and their fibersUniruledness and the sign of total scalar curvatureBrill-Noether existence with secantsBogomolov-Guan Manifolds are not formalThe dHYM equation on crepant resolutions of Calabi-Yau conesA Polytopal Realization of Higher-Categorical AssociahedraA proof of the Eisenbud-Huneke-Ulrich conjectureS-integrality for families of ordinary K3 surfaces and algebraicity theoremsA Bounded Degree SOS Plus SONC Hierarchy for Polynomial OptimizationResultant of an equivariant polynomial system with respect to a direct product of $r$ symmetric groupsType changing, compact generalized Calabi--YausAmple vector bundles without Griffiths-semipositive metricsA first-jet characterization of Griffiths positivityp-curvature in non-commutative Hodge theory and the Kontsevich-Soibelman operad

単極曲面とモノドロミーとコホモロジー - 2026/9/22の論文44本

Sep 22, 2026 1 hr 14 min

arXiv math.AGの新着論文44本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-09-22/ A codimension formula for intrinsic perturbation of $A$-hypergeometric seriesLocal monodromy, Behrend function and Hilbert scheme of points on $\mathbb{C}^3$Maximal singular curves over finite fields from elliptic and hyperelliptic curvesSpecial valuations and automorphisms of affine log Calabi--Yau varietiesOn the Rank of Normal Functions on Pointed CurvesLocal cohomology with Schubert support on compact Hermitian symmetric spacesOn the gap between the integral and rational Gongyo indices of toric Fano varietiesA polynomial formula for the Albanese map of the Cartwright-Steger surfaceRestricted monodromy containing transpositionsSemiampleness on Jacobian elliptic surfaces of Kodaira dimension oneMordell--Weil groups of quasi-elliptic surfaces in characteristic 3Bimeromorphic invariance of $\partial\bar\partial$-property and blow-up formulae I: counterexamples and derived category approachNondeformability of Moishezon manifolds with nonnegative Kodaira dimensionFreeness of Pluricanonical Linear System on Smooth Minimal n-folds of General TypeFrobenius splitting for Fano threefoldsPolynomial Volume Bounds and Effective Birationality for Log Calabi-Yau SurfacesFundamental Lemmas in Universal ResolutionA local cohomology obstruction to small Cohen--Macaulay modulesTrifocal Tensors in Three-View GeometryFiniteness theorems for pseudo-coherent complexes on algebraic stacks2-step ideals and commuting matricesThe Generalized Lax Conjecture for Strictly Hyperbolic PolynomialsUntwisting the twisted character variety via a stacky curveConormal Rank of Subvarieties of GrassmanniansOn Free and Nearly Free Conjecture of Rational Unibranched Projective Plane CurvesMagic positivity of Snapper polynomials for matroidsBoundedness of geometrically integral $\epsilon$-klt del Pezzo surfacesGeometric index theorems for holomorphic foliations and curvesThe Bourbaki...

ホッジ構造とフラッグ多様体と有理性 - 2026/9/21の論文17本

Sep 21, 2026 30 min

arXiv math.AGの新着論文17本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-09-21/ Abelian Relations are Liouvillian$K$-regularity for finite quotient singularitiesA geometric approach to the density of rank-metric codesTangent bundles of Quot schemes of vector bundles on curvesDouble shuffle relations via the Hodge defectBound of automorphisms of fibred surfaces in positive characteristicOn Fano varieties of index one that are linear sections of Grassmannians of linesBounds on automorphism groups of surfaces of general type with negative c_2Irrationality of the first stabilization of a complex smooth cubic threefoldAn equivariant version of Gabber's lemmaOrlov's rationality conjecture for surfacesOn the atomic decomposition of complete intersection in flag varietiesAlt's ProblemProducts in absolute Hodge cohomology and mixed Hodge formalityMinuscule Relations in Quantum $K$-Theory of Flag VarietiesOn intrinsic homological mirror symmetry for toric degenerationsDiagnosing Inconsistencies in 4d N=1 Gauge Theories with Explainable AI

motivesと多様体とスタック - 2026/9/18の論文27本

Sep 18, 2026 44 min

arXiv math.AGの新着論文27本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-09-18/ The Drinfeld associator and $A_\infty$ functorsBalancedness of Normal Bundles of Rational Curves in GrassmanniansA Quadratically Enriched Pushforward for Deligne--Mumford StacksHypersurfaces containing involutive cones in projective symplectic spacesMicrolocal perverse schobers and Radon transformChow Vanishing and Motives of Cluster VarietiesThe Bernstein-Sato Polynomial of the Hankel DeterminantBounds for Codimension-One Components of Zero Loci of Bernstein-Sato IdealsThe unramified Grothendieck--Serre conjectureOn Logarithmic Poisson and De Rham Cohomology Groups of a Class of Inhomogeneous DivisorsA Survey on Pham-Brieskorn VarietiesUniform Rost nilpotence and birational motivesCartier crystals and dual-constructible $p$-torsion complexesAn exponential Lojasiewicz inequality for semi-Pfaffian setsClassification of Automorphism Groups of Smooth Cubic Threefolds and FourfoldsOn the ACC for Minimal Log Discrepancies for Bounded Generalized Sub-PairsConductor-Discriminant Inequality for Tamely Ramified Cyclic Covers IThe Hurwitz existence problem in prime degreeConductor-Discriminant Inequality for Tamely Ramified Cyclic Covers IIThe Last Picard Rank 1 Double-Mirror Calabi-Yau Pair?Connecting families of curvesMorphism spaces on low degree hypersurfacesK-theory of Matroids and Monoid SchemesThe Serre--Hochschild plane of a finite-dimensional algebraRogers--Ramanujan identities from the geometry of $X^a=Y^b$Degree Growth of Iterates of Curves and Likely IntersectionsLogarithmic--exponential preparation in sharply o-minimal structures

曲線と不変量と変形と多様体 - 2026/9/17の論文31本

Sep 17, 2026 54 min

arXiv math.AGの新着論文31本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-09-17/ Transitive automorphism groups of maximal curvesXiao's Genus-Two Fibration: Branched Covers and Braid MonodromyBicomplex Characteristic ClassesHodge integrals on admissible covers and tautological projections of Prym classesOn Logarithmic Donaldson-Thomas invariants for local Calabi-Yau $4$-foldsAn elementary way to find a counterexample to the Jacobian ConjectureGeometry of three--generated ideals in the planeToric vector bundles with trivial Chern class and flag decorationsKoszul Duality for Symmetric Algebras and Derived Loop SpacesOn the singularities and the Kodaira dimension of unitary Shimura varietiesNodal deformations of hypersurfaces with an ordinary $m$-fold pointVirtual classes: An introduction with exercisesDeformations of Canonical Bundle for Smooth Weakly K\"ahler MorphismsPedal Curves of a BicornOn curves with one place at infinityMonodromic Perverse Sheaves on Shifted Contact StacksSurfaces of general type with extremal cotangent dimensionBertini's theorem for $F$-rationality is falseRelative cone of curves and extremal contractions of a successive blowupBelyi's theorem: coverings, dessins, and fields of definition$\mathbb{Z}$-Torus Exteriors and Small Knot-Surgery Four-ManifoldsOn motivic cohomology of commutative C*-algebrasFlexible-body Modeling, Kinematic Identification, and Assembly Accuracy of Overconstrained Spatial LinkagesEffective Hecke eigenvalue equidistribution over the Atkin--Lehner subspacesOnly finitely many modular Jacobians are supersingular modulo a given primeGurtas Lefschetz Fibrations, Rational Blowdowns, and Exotic Symplectic Four-ManifoldsUnramified Geometric Iwasawa theory of function fieldsDensity functions for filtrations of graded idealsStable Trace Formula for Newton strata of Shimura varietiesOn a conjecture of Browning and Sawin on random hypersurfaces with sign coefficientsA uniform effective And...

ショットキー理想とグロモフ・ウィッテン理論 - 2026/9/16の論文29本

Sep 16, 2026 49 min

arXiv math.AGの新着論文29本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-09-16/ Schottky versus super Schottky in genus 4On the Super-Schottky Ideal and Powers of the Classical Schottky Ideal for $g \geq 5$Filtrations on Local Cohomology and Injectivity TheoremsDemailly's Inequality for Finite Sets of Points in Positive CharacteristicNilpotent Jacobian maps in dimension three and stable tameness in block extensionsPunctured log Gromov-Witten theory of log modifications and double ramification cycles with target log varietyArc-analytic functions on locally closed semialgebraic setsCartan-Fejer Gram Tomography and Flop Covariance for BPS Resummed Gromov-Witten PotentialsGeneric Triviality of Linear Automorphisms of Complete IntersectionsMori dream fibers and the geometric generic fiberLocal obstructions to the surjectivity of spectral morphismsA new degenerated second main theorem for meromorphic mappings with hypersurfacesA Hodge module construction of relative Du Bois complexesJordan-H\"older theory for complementary polyhedra and moduli of parahoric Higgs torsorsGopakumar-Vafa invariants and Macdonald formula IIFundamental groups of proper algebraic stacks are finitely presentedConcise tensors with maximal symmetriesSmall degree isogenies between conjugate principally polarized superspecial abelian surfacesWhitney fold and cusp for algebraic surfaces, and singularities of discriminantsMinkowski Decompositions for Generic Infinitesimal Newton-Okounkov Bodies of Arbitrary-Degree External Tensor Products on Products of CurvesEquivariant Cohomological Crepant Resolution Conjecture for ADE-orbifoldsExtending Andreotti's proof of Torelli's theorem to nodal curvesChern bounds and tangent geometry of polarized Calabi-Yau threefoldsCanonical differential equations for Feynman integrals from $\mathcal{A}$-hypergeometric systems in the Schwinger representationStability of closed leaves holomorphic foliations via torsion behavior of...

不変量と変形とモジュライ空間 - 2026/9/15の論文53本

Sep 15, 2026 1 hr 31 min

arXiv math.AGの新着論文53本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-09-15/ Stringy invariants for abelian character varietiesDegrees of Fano Quiver ModuliA Log Canonical Counterexample to the Chen--Jiang DecompositionExtensions and Segre stratifications over algebraic surfacesContact Rigidity and Comparison Kernels for Type A lci Schubert VarietiesConifold Gap for the Quintic ThreefoldThe cylinder over the Russell cubic threefold is flexibleMotivic Steenrod algebra and Thom obstructions without desingularizationTheta-duality and Prym-Torelli for cyclic covers of hyperelliptic curvesDiscriminants of Hermitian forms, maximal degenerations and Kontsevich's tropical approach to the Hodge conjectureTorelli theorems for Quot schemes of vector bundles on curvesHolomorphic polyvector fields on toric varieties via Klyachko filtrationsDeformation invariance of canonical nefness in smooth Kahler morphismsBlow-up formulas of Gromov-Witten invariants and virtual cycles under positivity conditionsNagata's conjecture on a polynomial automorphism in positive characteristicPhantom subcategories on blow-ups of Hirzebruch surfacesLagrangian fibrations on hyperkahler manifolds have no multiple fibers in codimension oneAn arithmetic integrability result for codimension-one foliations on complex projective spacesNakajima-extremal Artin--Schreier covers of ordinary elliptic curves in characteristic $2$Level structures on tropical abelian varietiesGeometric Invariant Theory for Affine SuperschemesRiemann-Roch Polynomials, MBM Classes and Poor IHS ManifoldsTorsion, Betti rank, and small points in semiabelian schemesUlrich Bundles on certain Grassmann Bundles Over CurvesAsymptotic Counting of Singular Fibers of Genus $g$Noether's problem for $A_6$ and $A_7$An algebraic comparison of $\widehat{\mathrm K}$-stability and $\mathrm K^\beta$-stabilityGeneric vanishing subschemes of codimension threeHarmonic sums and the Galois group of the Mellin-KZ...

特異点とミラー対称性と楕円曲線 - 2026/9/14の論文29本

Sep 14, 2026 48 min

arXiv math.AGの新着論文29本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-09-14/ Algebraic loops, braids, and tropicalizationPoincar\'e duality for pro-\'etale $\mathbf{Q}_p$-local systemsBorder rank lower bounds beyond weak border apolarityCharacteristic Classes of Adelic Vector Bundles and ApplicationsSiebert's formula for virtual pullbacksSeshadri slope $\K$-semistability for the blow-up of projective space along a linear subspaceTorus actions on compactified braid varieties and polytopality of subword complexesHolomorphic isomonodromic deformations of Higgs bundles: absolute lifting, spectral flatness, and nilpotent rigidityAbundance theorem for log surfacesHodge-Deligne and Poincar\'e polynomials of $\overline{\mathcal M}_{1,n}$Crepant resolutions of fiber products and Kummer fibrations of rational elliptic surfaces with non-reduced fibersOn symplectic aspects of $\mu$-equivalence of a class of isolated hypersurface singularitiesThe Chern character of a coherent sheaf on a smooth projective hypersurfaceData-Adaptive Grassmann Manifold Representations for Spatial Transcriptomics AlignmentSpectrum of singularities, analytic torsion and Calabi--Yau degenerationsDescent, Seminormalization, and Conductors of Sparse Profile ImagesEquivariant $K$-theory ring of the affine Grassmannian as deformation to normal coneAll-Genus Open Mirror Symmetry for Toric Calabi-Yau 3-Orbifolds with Multiple BranesClifford Realizations of Hyperbolic CubicsNon-archimedean Monge-Amp\`ere measures for toric metrics on subvarieties of toric varietiesPositivity properties of Schur classesA Higher dimensional log Riemann--Hurwitz inequality and rigidity of coversOn Skabelund's Ray Class Field Covers of the Suzuki and Ree CurvesCategorical genus for log del Pezzo surfaces with cyclic quotient singularitiesAn adelic approach to the Kudla-Millson lifts over totally real number fieldsLocal-global principles for visibility of lattice points on parameteriz...

有理曲線とモジュライ空間と数論的性質 - 2026/9/11の論文25本

Sep 11, 2026 44 min

arXiv math.AGの新着論文25本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-09-11/ Long range divided differences, clusters, and Graham-positivityThe Reye geometry inside the 64 lines of the Schur quarticTorelli theorem for the product of moduli spaces of vector bundles over a curvePerverse Euler Characteristics of Hermitian Locally Symmetric SpacesCoupled Pklt Tuples and Varieties of Pklt TypeGraded Betti numbers of general curves of large degreeDivisibility and torsion in higher Chow groups over arithmetic fieldsOpenness of local properties in flat families of superschemesGeneric vanishing conjecture for divisorsCampana Rational Connectedness and Weak Approximation of Del Pezzo OrbifoldsA maximal function field of genus $17$ over $\mathbb{F}_{11^2}$Maximality of the Hodge level for smooth weighted complete intersections of general typeChern flow and Chern moment algebrasF-theory on K3 surfaces and orthogonal modular formsThe $E_6$ Restricted Hyperplane Arrangement and its $E_7$ Shadow: Weyl Transport on a Minuscule Bruhat PosetA $p$-adic monodromy theorem for curvesLog-crystalline representations and $(\varphi, \Gamma)$-modulesHomogeneous Milnor fibers and Kato--Matsumoto bounds via simplicial multiwedgesOn the bounded-conductor finiteness conjecture in equal characteristicCommensurability Relations Between Deligne-Mostow-Thurston and Ghazouani-Pirio Monodromy GroupsAnalytic Construction of Rational Curves on Fano ManifoldsAsymptotic $q,t$-Fuss--Catalan numbers for type $B$Braided Multisections and Symplectic Four-Manifolds with the Rational Cohomology of $S^2\times S^2$Analytic and Algebraic Oka-1 Approximation for Smooth Projective Morphisms with Rationally Connected FibersThe asymptotic in Waring's problem over function fields beyond twice the degree

不変量と多様体と表現の幾何学 - 2026/9/10の論文35本

Sep 10, 2026 59 min

arXiv math.AGの新着論文35本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-09-10/ From Closed to Relative Higher-Genus Gromov-Witten Invariants via Resurgent FunctionsSecant varieties of flag varieties via Schur apolarityPrime Fano fourfolds in classical and generalized GrassmanniansThe algebraic geometry of 3-by-3 magic squares of squaresAutomorphism groups of semi-rigid $T$-varieties of complexity oneUlrich bundles on intersections of two quadricsRepresentation Varieties of Stacks and Trace MapsDeterminantal Kernel Schemes of Matrix Nets and Applications to Positive MapsPositivity of compact K\"ahler varieties admitting an int-amplified endomorphismAutomorphism groups and Homogeneous fibrations on projective varieties with nef anticanonical divisorsReconstruction of Binary Linear Systems and Profile Geometry of Sparse Krylov StrataThe Elusive Relatively K-Unstable Delzant Octagon: A Numerical SearchFrobenius--Cartier duality via lax equalizersStable irrationality of quartic sixfoldsCategorical reconstruction of del Pezzo surfaces: Hochschild--Serre algebras and spinor modificationsBirational cubic fourfolds via an Enriques Cremona transformationWhen Finite Free Curves SplitAn orbifold formula for algebraic stacksNeutral components of automorphism groups of (semi)rigid affine varietiesPierce-Birkhoff conjecture is falseDeformation families of open Calabi-Yau manifolds and SteinnessOn Two Open Problems by Johnson and Koll\'arDifference Equations for Local Gromov-Witten Potentials of Threefold FlopsThe real quotient of the Cartwright-Steger surfaceTriple intersections for algebraic curves on the real torusQuantum Elliptic Cohomology From Four-Dimensional Minimal Supersymmetric Gauge TheoriesGeneric Manin-MumfordLefschetz properties for monomial complete intersectionsDeriving Newton's Canonical Forms of Cubic Curves via the Center of PolynomialsA general endomorphism of $\mathbb{P}^k$ has trivial iterated centralizerThe Oka pr...

モジュライと多様体と特異点とコホモロジー - 2026/9/9の論文73本

Sep 9, 2026 2 hr 1 min

arXiv math.AGの新着論文73本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-09-09/ Tame polynomial automorphismsCoarse moduli of motivic augmentationsOn endomorphisms of affine spaces and the Jacobian problemMutation Sequences along Weaves and Amalgamation of Braid VarietiesOpen-closed duality in higher genus and windingRelative Geometric Invariant Theory: Reductive and Non-reductiveBoundedness of Stein degrees in positive characteristicsProbability-theoretic interpretation of degeneracy locus formulasTropicalization of Fock's inverse spectral transformPolynomial point counts for moduli spaces of curves with marked pointsMonodromy Eigenvalues of Milnor Fibers for Line ArrangementsThe Constant in Thomae-Type Formulas for Eight Points on the Complex Projective LineWhen is a polynomial in three variables cylindrical?Disconnectedness of the Hilbert Schemes of $E_6/P_6$Permutation Representations on Cohomology of Toric VarietiesMicrolocalization and singular supports of constructible \'etale sheavesTransversely projectively flat foliationsKobayashi Hyperbolicity of General Surfaces via the Poincar\'e ProblemOn the existence of smooth varieties of any dimension carrying no Ulrich bundles for some very ample line bundleAutomorphism Groups of Smooth Cubic Fourfolds through Lattice TheoryHasse Obstructions to Rationality for Special FourfoldsOn the Brill--Noether Theory of Sheaves on Regular SurfacesA unified family of counterexamples to Batyrev's non-negativity conjecture on stringy Hodge numbersPolynomial Lower Bounds for Anticanonical Volumes of Weak Fano SurfacesCyclic Spectral DataA note on compact K\"ahler varieties with pseudo-effective tangent sheafFano Generalized Bott-Samelson VarietiesResolutions of linear $p$-cyclic quotient singularitiesGroup action of Hochschild-Serre algebra and categorical reconstructionWedderburn decomposition of Twisted skew abelian group algebraChow Quotient Moduli Space of Dynamical Systems on the...

コホモロジーと多様体と層の変形 - 2026/9/7の論文17本

Sep 7, 2026 29 min

arXiv math.AGの新着論文17本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-09-07/ On the torsion in the Chow motive of an Enriques surfaceCohomology on Cotangent Bundles of Partial Flag Varieties in Type AHeisenberg Equivariant Compactifications of Rational Homogeneous VarietiesModuli of Conics on General Plucker Linear Sections of Grassmanniansq-Opers and Quantum/Classical Duality Beyond Type ARelative Brauer groups and Kummer Sequence without characteristic constraint in $fppf$-topologySuperconnections, descent, and monodromy on transversely holomorphic foliationsLegendrian families of lines on nilpotent orbit closuresParahoric motivic Hecke categories in equal and mixed characteristicA flatness criterion for pseudo-effective sheaves on compact K\"ahler spacesSemiorthogonal decompositions for families of twisted flag varietiesFiltrations on D-modules and multiplicities of roots of Bernstein-Sato polynomialsColeman Isomorphisms in Syntomic Cohomology and $\mathrm{THH}$Positivity of Smooth Currents on Singular SpacesThe Weighted Walks in Quadrant with Finite Groups: an Algebro-Geometric ApproachDeformations of K\"{a}hler and Balanced HyperbolicityThe coordinate ring of the k-fold iterated commutator locus for 2x2 matrices

ヒルベルトスキームと対数正準モデル - 2026/9/4の論文26本

Sep 4, 2026 44 min

arXiv math.AGの新着論文26本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-09-04/ Artin-Schreier geproci configurations in projective spaces of arbitrary dimensionEquilibria for Networks of Linear Translational SpringsExperiments with membranes, maps and sheavesSome generalizations of Oort's conjectureCharacteristic-free characterizations of projective space for smooth toric varietiesLog canonical models of a fixed variety with varying boundariesGrassmann--Pl\"ucker Parametrization of Convolutional Filter Subspaces: Regularity and Closed EmbeddingsA note on the noncommutative Hodge conjecture for graded matrix factorizationsNew bounds for the support of input-output equations in differential-algebraic systemsA Polynomial PDE Criterion for the $-n/d$ Root of the Bernstein-Sato polynomial of Homogeneous IdealsCharacterizing Contractions and Weighted BlowdownsAn obstruction to the maximal singularity of the Hilbert scheme of points on threefoldsOort's conjecture for split unitary Shimura varietiesLog-concavity and unimodality of Hodge numbers of Hilbert schemes of points over a surfaceAn upper bound for an exceptional automorphism groupPoincare Polynomials of Heavy-Light Hassett SpacesConical Defects in JT Gravity from BF Theory: Quantization, Fusion, and Weighted Moduli SpacesGeneralized Telescope ConjectureThe Lie group-Lie algebra correspondence in tangent categoriesRelative approximation degrees and the henselian rationality problem over perfect fieldsStratification of Artin motives over local fieldsAiry limit for the Jack process and topological expansionUniversal Pl\"ucker positivity and the Octopus inequalityProjective embedding of degenerating family of K\"ahler-Einstein manifolds with normal crossing limitAdditive diameters and covering complexity of irreducible representationsA note on bounded ratios

アーベル多様体とD加群と多様体 - 2026/9/3の論文26本

Sep 3, 2026 45 min

arXiv math.AGの新着論文26本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-09-03/ A comparison theorem for relative regular holonomic D-modulesEssential Dimension and Faithful Rank of Finite p-GerbesA logarithmic Bogomolov--Sommese vanishing theorem on compact K\"ahler manifoldsContact fundamental forms and adjoint varietiesGroups of Transverse Stratifications and the Hierarchy of Configuration SpacesDegree of irrationality of abelian surfacesMembranes and MapsNef Cones of Hilbert Schemes of Orthogonal GrassmanniansFinite Directional Coefficient Modules over Euler Fibers of $A$-Hypergeometric SystemsFlexibility of affine cones over blow-ups of weighted projective planesNon-nef loci in mixed characteristicSmooth Counterexamples to the Eisenbud--Schreyer--Weyman Ulrich Existence ProblemCharacterization of Stanley-Reisner varieties by their automorphism groupLocal dimension testing via quadratic obstructionsFinite extensions of abelian schemes and duality for commutative group stacksOn everywhere locally soluble varieties in families over toric basesThe bounded area class of negatively curved surfacesIntegrable Generators of Polynomial Vector Fields for Complex Classical Lie GroupsAsymptotics of holomorphic torsion on orbifolds and an equivariant arithmetic Hilbert-Samuel theoremThe Borovik-Cherlin conjecture holds in ACFFrobenius Alexander quandles, knot colorings, and isogeny classes of abelian varieties over finite fieldsA computational approach to maximum likelihood thresholds for colored Gaussian graphical modelsThe Hasse norm principle for $A_4$-quartic extensions of global function fieldsPrescribed Lelong Numbers for One-Pole Green Functions on Complex Projective SpaceMost $(0,1)$-polytopes are not normalEstimating the number of real zeros of linear combinations of radicals of polynomials

特異点とカラビヤウ多様体とFano多様体 - 2026/9/2の論文30本

Sep 2, 2026 51 min

arXiv math.AGの新着論文30本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-09-02/ Calabi-Yau Threefold Singularities and their Universal QuiltsNonexistence of degree two rational multisections of conic bundles over the planeThom series in negative relative codimensionA holomorphic (2, 2)-Theorem for Abelian varieties of CM-typeThe Absolute Twistor Line and the Geometry of $\overline{\text{Spec}\, \mathbf Z}$Weighted Syzygies of Pointed CurvesInfinite transitivity of tame groups of automorphisms of affine spacesHodge--Tate splitting and Akizuki--Nakano vanishing in positive characteristicBounded cohomology property on Jacobian elliptic surfaces with simplicial Mori conesDeciding superellipticity and computing the Weierstrass normal formAn integral Hyodo--Kato isomorphismDeformations of Compact Calabi--Yau and Fano Varieties with Isolated SingularitiesExtended Abstract of Counting Divisorial Contractions with Centre a $cA_n$-SingularityIsoperimetric Problems on cyclic polygonsOn Algebraic Integrability of Vector Fields with Rational Function Coefficients that Separate VariablesTowards Categorical K\"ahler GeometryEuler obstructions and Verdier specializationsResultant multiplicity via projective degrees and applications to tensor eigenvaluesOpenness of Fourier--Mukai loci for algebraic spacesVirasoro Constraints for Orbifold CurvesCohomology characters on the incidence correspondenceK-stability and birational rigidity of Fano 3-fold weighted complete intersectionsParabolic Lie algebroid connections on parabolic principal bundles over curvesSingularities of star cluster algebras144 real circles tangent to three conicsA linear bound for Fujita's freeness conjectureSubleading Collinear Limits of Yang-Mills Amplitudes from GravityOn a construction of hermitian metrics on holomorphic vector bundlesExceptional points on Atkin--Lehner quotients$A_1$ - Coulomb branches over finite fields and Selberg Character sums

変形と特異点と鏡像対称性とモジュライ - 2026/9/1の論文42本

Sep 1, 2026 1 hr 9 min

arXiv math.AGの新着論文42本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-09-01/ The Tate conjecture for abelian fourfolds over finite fieldsSingular Points on Positroid Varieties and Planar N=4 Supersymmetric Yang-Mills TheoryNonnegative conorms, regular matroids, and the tropical Schottky problemNoncommutative Hourglasses II 1/2: Derived Category of Birational Linkage with Well-Formed SingularitiesAll genus open mirror symmetry for footballsAmple vector bundles on non-proper schemesSix-functor formalism for Kummer \'etale cohomology of log schemesQuasimap critical cohomology, Coulomb branches, and quantum groupsThe Picard number of fibred Mori dream surfacesInfinitesimal Deformations of Generalized Parabolic Hitchin PairsWeil's Theorem for Logarithmic Connections on Irreducible Nodal CurvesWall-crossing formula and genus-one Virasoro conjecture for Fano complete intersectionsBirational Automorphism Bounds for General-Type Foliations on Surfaces via Pluricanonical IndicesTropical Matsusaka and Matsusaka--Ran CriteriaCompactification of $\operatorname{SL}(3,\mathbb{C})$-Character Varieties of Surfaces via Skein AlgebrasA Note On the moduli space of rank two vector bundles on Hirzebruch surfacesAbundance of affine algebraic structures on stabilized cotangent bundles of surfacesKempe factorizations for rational curves on $\operatorname{SO}_4(\mathbb{R})$On the first-order deformations of seminormal affine toric varietiesDegenerations of elliptic quartics and K-moduli of Fano threefoldsSemiorthogonal decompositions of stable $\infty$-categoriesA remark on polycyclic groups of birational automorphismsType of homomorphisms of complex toriFlat connections on moduli spaces I: Local (1,0)-extension of the DHS connectionGeneralized Jantzen filtration, hyperbolic restriction, and characteristic cyclesRigidity of the period map up to finite coversThe arithmetic rank of nullcones of classical invariant ringsThe $(\infty,\infty)$-catego...

トーリック多様体と特異点と曲線の理論 - 2026/8/31の論文27本

Aug 31, 2026 48 min

arXiv math.AGの新着論文27本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-08-31/ An action of the affine Yangian $Y_{t_1,t_2}(\widehat{\mathfrak{gl}}_1)$ on the cohomology of the moduli space of stable sheaves on surfacesOrbifold Degenerations of Hirzebruch SurfacesFinding large families of rational curves through Bend-and-BreakSingularity Categories of Simple Singularities in Positive Characteristic$K_2$-regularity is equivalent to smoothness for toric varietiesThe Segre invariant and Brill-Noether theory on Hirzebruch surfacesMetric-geometric Chow theoremOn Frobenius rigidity for motivic cohomologyDegree of irrationality of properly elliptic surfacesSyzygies of Polarized Abelian Surfaces: A Reider-Type CriterionA non-klt counterexample to Shokurov's index conjectureIndependence of the Grothendieck classes of twisted symplectic flag varietiesThe Global Dimension Function on Stability ManifoldsArithmetic purity of strong approximation for toric varieties with constant global sectionsLocal inequalities for $cD$ and $cE$ singularitiesFujita freeness for projectivized toric vector bundlesBetti bounds for spaces of curves on varieties and Manin's conjecture for quartic del Pezzo surfacesOn Manin's conjecture for quartic del Pezzo fibrationsThe Saito determinant for extended affine Weyl discriminant strataQuantum Information at InfinityPositive Geometry of Yang-Mills CorrelatorsAlgebraic implicitization techniques in the graphical models programOn cluster deep loci in double Bruhat cellsSimplicial arrangements in real projective three-space revisitedThe Algebraicity Problem for Hard-Core Entropy Constants on the Discrete HypertoriRational torsion on simple genus two JacobiansA ridgeline correspondence criterion: the number of modes of a Gaussian mixture is finite