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arXivのmath.AG (代数幾何学) の新着論文の概要をAIで日本語でお届けするポッドキャストです。 情報収集にお役立てください。 (AIで生成していますので必ずしも正しいとは限りません)

  1. 16h ago

    曲線と不変量と変形と多様体 - 2026/9/17の論文31本

    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 Andr\'e--Oort result

  2. 1d ago

    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

    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 groups of germsNumber fields as curves over $\mathbf{F}_1$Splice formulae for Poincar\'e series of integral homology spheresOn Strong Bi-Lipschitz Triviality of DeformationsFunctions on Nilpotent Orbit Covers and Birational Geometry

  3. 2d ago

    不変量と変形とモジュライ空間 - 2026/9/15の論文53本

    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 difference equationPolarized varieties without arithmetically Cohen-Macaulay bundles and section rings without graded maximal Cohen-Macaulay modules in characteristic zeroSmall-Subgroup Criteria for Liftability of Automorphism Groups of Smooth HypersurfacesAlgebraic hyperbolicity of very general hypersurfaces in projective spacesA blowup criterion for regularityGeometric realizations of Brauer classes on K3 surfaces from hyperk\"ahler contractionsTwo proofs of the Cassels--Swinnerton-Dyer conjecture for cubic surfacesThe tautological ring of $M_{25}$ is not GorensteinExplicit invariants of the Suzuki and Ree groups in their function fieldsWasserstein Metric Normalization of Projective Cycle SpacesGrassTop: Grassmannian k-mer Topology for Viral Classification and Phylogenetic AnalysisDynamical uniform boundedness for unicritical polynomials and elliptic curves of large rankGalois representations and modularity for twisted moments of Kloosterman sumsThe structure of automorphism groups of zero-dimensional monomial algebrasThe classification of some polynomial maps in dimension threePolynomial corners in finite fields beyond the distinct-degree caseHierarchical hyperbolicity, ball quotients, and the moduli space of smooth cubic surfacesElimination of Ren\'e Peschmann's 968 Remaining Hard Fibers for the Perfect Cuboid ProblemEkedahl-Oort strata meeting the supersingular locusGenerating hypotheses along the motivic deformationHecke structure of quaternionic modular forms mod $p$Sharp degree bound for rational proper maps from $\mathbb B^2$ to $\mathbb B^4$Logarithm of the Universal Two-Valued Formal GroupAugmented singular cohomology, uniform matroids, and real-rootednessThe coherent KLR sheaf

  4. 3d ago

    特異点とミラー対称性と楕円曲線 - 2026/9/14の論文29本

    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 parameterized curvesElliptic $b$-Hurwitz theory and Jack heat traceThe Eisenbud-Huneke-Ulrich conjecture and bounds on minimal generatorsClassification of torsion of elliptic curves over quintic fields

  5. 6d ago

    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

    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

  6. Sep 10

    不変量と多様体と表現の幾何学 - 2026/9/10の論文35本

    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 principle for \'etale Chow groupsUnramified Motivic Alternating Multiple Mixed ValuesMeromorphic solutions of first-order differential equations with rational exponential coefficientsFaltings' Isogeny Theorem via EquidistributionOn the syntomic regulator of the Hesse cubic curves and $p$-adic hypergeometric functions

  7. Sep 9

    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

    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 Projective Line and Rescaling LimitsLogarithmic $A_{\mathrm{inf}}$-cohomology, Part II$F$-nilpotence and Hodge filtrations beyond isolated singularitiesNakano-positive determinants outside the Hodge-Riemann coneEquivariant compactifications of a unipotent group by a smooth projective horospherical variety of Picard number oneNegative contacts in genus one: a comparison of punctured and root stack Gromov-Witten theoriesIntrinsic Restriction Traces and Toric DynamicsHilbert schemes of low-degree rational curves on a prime Fano threefold of degree $22$A Perfectoid Pro-\'Etale Lie Torsor Can Have a Non-Surjective Sen MapCohomological Hall algebras and Quot schemes of curvesThe contraherent version of the theorem of Slavik and StovicekOn the $a$-number of Fermat type function fields and some of their subfieldsSingularities of totally invariant hypersurfaces of endomorphismsThe derived length of subgroups of the Cremona groupDerived invariance of Hodge numbers for smooth projective complex fivefolds with $K_X = 0$Automorphisms of toric varieties and Gale dualityQuasi-algebraic quantization for the B-twist Langlands TQFTUnramified cohomology and Brauer--Manin pairingOn the size of the fibers of a morphism of algebraic varietiesThe border Waring rank of $x_1\cdots x_n$ is $2^{n-1}$Vector Bundles of Coinvariants for Admissible Affine Vertex Operator AlgebrasHolomorphic Maps from $\mathbb{C}^p$ into Semi-Abelian VarietiesPairings on the algebra of Laurent series over a ringExactness of the 2-categories of abelian and triangulated categoriesA hereditary theorem for rigid and pseudorigid components of Lusztig's nilpotent varieties in type $A$Constructing the Monopole Formula for $A$-Type Good Quivers via Quiver YangiansFrobenius dilation of Hilbert function, Demailly's conjecture, and varieties of powersMirror Counts of Spectral CurvesGeneric reconstruction of rational maps from multipliers of periods one and twoBig and nef cohomology classes on compact K\"ahler spaces$q$-Oper Structures on a Formal Punctured DiscA Note on Binary Quadratic Systems and their relation to complexity theoryRelative $(\varphi, \Gamma)$-modules and $p$-adic differential equationsKontsevich-Zagier conjecture for Hensel-minimal fields with sectionsA geometric Jacquet--Langlands correspondence for Shimura varietiesShifted Contact Structures on Exact Symplectic FibrationsMatchings and Clusters on Plabic FencesA numerically flat rank-two bundle without a holomorphic connection on a $\partial\bar\partial$-threefoldSet-valued tableaux and cells of Gelfand-Zetlin polytopesThe V\'amos Matroid Has No Second Symmetric PowerRational functions over finite fields with Galois closure of genus zeroCatalan-many tropical morphisms to trees; Part II: A space and a countThe Archimedean place is a blurred interval at infinity

  8. Sep 7

    コホモロジーと多様体と層の変形 - 2026/9/7の論文17本

    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

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arXivのmath.AG (代数幾何学) の新着論文の概要をAIで日本語でお届けするポッドキャストです。 情報収集にお役立てください。 (AIで生成していますので必ずしも正しいとは限りません)

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