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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. 2d ago

    コホモロジーとHiggs束と特異点 - 2026/6/5の論文18本

    arXiv math.AGの新着論文18本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-06-05/ A Counterexample to Bhatt-Lurie's Cohomological Dimension ConjectureArithmetic Kashiwara Regularity and Orbit Classification for Filtered Strongly Equivariant $\mathcal{D}^{\dagger}$-ModulesHigher order isomonodromic deformation of Higgs bundles and a characterization of the non-abelian Noether-Lefschetz locusUlrich wildness of some decomposable threefold scrolls over $\mathbb F_a$Non-projective complete log canonical surfacesCoherent sheaves on subvarieties in Hopf manifoldsHiggs bundles on the Fargues-Fontaine curveQuot spaces in tilted hearts and Hall algebra modulesAlgebraicity of exterior Cauchy transforms of algebraic ovals: a homological formulationPerverse filtration on Hilbert schemes via upward flowThe Euclidean algorithm, lotuses and singularitiesKaleidoscopes, Waves and the PrepotentialHodge theory and $G_4$ fluxes in weighted projective spaces: Galois actionBenchmarks in LeipzigFrayed Demazure weaves for Poisson-compatible cluster structures on Bott--Samelson chartsOn the construction of K-contact non-Sasakian Smale-Barden manifoldsArithmetic Wu Formulas and the Generalized Hecke TheoremDecomposition Theorem for Perfectoid Rings along General Ideals

    29 min

  2. 3d ago

    特異点と葉層と鏡像対称性と束 - 2026/6/4の論文11本

    arXiv math.AGの新着論文11本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-06-04/ Bounds on the F-Pure Threshold of Isolated Hypersurface SingularitiesTransversal unfoldings of derived foliationsA Note on Jacobians with Prescribed FactorsModeling Rozansky-Witten Theory with Sheaves of CategoriesExistence of ACM Bundles on Polarized Abelian VarietyWeak Brill-Noether bundles on nodal Enriques surfacesThe Azumification of ordersOn the First Caustic of Elliptical BilliardsMirror symmetry for the Painlev\'e character varietiesThe leading constant in Malle's conjectureSlices of the special linear algebraic cobordism spectrum

    19 min

  3. 4d ago

    モジュライとラングランズと多様体 - 2026/6/3の論文18本

    arXiv math.AGの新着論文18本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-06-03/ On the fibers and semi-algebraicity of ReLU neuromanifoldsCohomology of complex supertoriSyzygies of Isotropic Kalman VarietiesOn $\mathbb J$-strata with Parahoric Stabilizers in Affine Deligne-Lusztig VarietiesBondal's conjecture in dimension fiveImproved unirationality for GL-varietiesModular inequalities and Alexander polynomials of pencil type conic-line arrangementsHK manifolds of Type $K3^{[a^2+1]}$ as moduli spaces of projective bundles on HK manifolds of Type $K3^{[2]}$Complete Families of Curves in the Moduli Space of Genus g CurvesOn the Schematic and Analytic Constructions of the Local Langlands CategoryOn the gap of quiver representationsOn the geometry of non-collapsed polarized cscK surfacesWeight filtrations via slopesLinearisation problem under finite \'etale coverThe Value Function Semi-Algebraic Set in Partially Observable Markov Decision ProcessesTowards the Relative Langlands Duality for Orthosymplectic PairsAmplituhedra and origami, II: loop levelThe Abel--Jacobi map over the twistor-$\mathbb{P}^1$ and real local class field theory

    28 min

  4. 5d ago

    モジュライ空間とトロピカル幾何学 - 2026/6/2の論文20本

    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/2026-06-02/ Properties of deformed mass and phase functionsModuli space of genus one curves on quartic and quintic del Pezzo threefoldsOn the category of modules over bands: relative schemes, hyperring schemes and proto-exactnessExtremality of tautological classes of matroids in nef conesOn generalized Weierstrass semigroups in linearized function fieldsAlgebraic Magnetism: $X$-products of attractors via $\mathbb{F}_1$-geometrySpace of prime congruences in tropical geometryA note on SG points for reduced plane curvesLocalizing subcategories for algebraic stacksStable Degeneration, Non-degenerate Forms, and Kaledin's ConjectureVerifying global identifiability of parametric linear ODE models is NP-hardOn the $P(t)$-adic Littlewood conjecture in odd characteristicsThe categorical local Langlands conjectureAdditive Rigidity for Images of Rational Points on Abelian Varieties II: The General CaseLie-Rinehart and Poisson algebras over $C^\infty$-ringConstructing Discontinuous but Locally Bounded Rational Functions using \L ojasiewicz InequalitiesPerverse filtration on the cohomology of affine Springer fibersIntrinsic Subgroups and the $\ell$-adic Galois imageJordan types for pairs of commuting nilpotent matrices: A surveyFinding the complement of an elliptic curve inside a Jacobian

    34 min

  5. 6d ago

    ヴェラ四方体と特異点とコホモロジー - 2026/6/1の論文11本

    arXiv math.AGの新着論文11本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-06-01/ Equivariant irrationality of very general symmetric Verra fourfoldsQuantum cohomology and birational geometry of Verra fourfoldsMinimal Trivializing Isogenies of $\mathbb{G}_m$-gerbes over Abelian Varieties and Period-Index ProblemCuspidal dicritical foliations and analytical invariants of cuspsThe singular locus of a GL-varietyCylinders in Fano threefolds of genus 9 and 10On the geometry of Certain Non-Basic Affine Deligne-Lusztig VarietiesThe $\mu$-Trace SystemShimura data and corners: cohomologyK-semistability and singularities of normal affine conesThe classification of integral endotrivial complexes

    18 min

  6. May 29

    モジュライ空間とベクトル束と多様体 - 2026/5/29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/2026-05-29/ Autoequivalences of Derived Categories of Moduli Spaces of Vector BundlesHiggs GrassmanniansReal-rootedness of the Poincar\'e polynomials of $\overline{\mathcal M}_{0,n}$: an AI-assisted proofHilbert polynomials of the first and second secant varietiesAutoduality of compactified Pryms for \'etale double covers of curves with planar singularitiesRemarks on hypersurfaces in $\mathbf{P}^1\times Z$Superspecial plane quintics with large automorphism groupsLift-independence problem in the $P$-adic Simpson correspondence for curvesThe multiple cover formula for $K3$ and abelian surfacesA solution to the Yau-Tian-Donaldson Conjecture through Special Fujita ApproximationsHodge numbers of moduli of principal bundles on a curveA note on Azumaya algebras and one-formsCohomology of the Moduli Stacks of Real Vector Bundles on Type I Real Algebraic CurvesThe quartic threefold is symplectically irrationalPolynomial contractions of $\mathbb C^d$ and degree growthCanonical extensions of $p$-adic shtukas on toroidal compactifications of Shimura varietiesSemi-Bousfield classes and nonmonotone perversities

    29 min

  7. May 28

    複素多様体と特異点と不変量 - 2026/5/28の論文21本

    arXiv math.AGの新着論文21本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-05-28/ Completed volumes and the DR-cycleOdd Kn\"orrer periodicity as a double coverContact Invariants for Plane Curves in a PencilStacky geometry and logarithmic topology of transversely affine foliationsIndicial polynomials and $b$-functions of $D$-modules along arbitrary varieties and their computationExamples of infinitely many $(-1)$-curves with higher genus on elliptic surfacesProjective K3 Surfaces with integral Zariski decompositionsSingularity criteria for K-stability of adjoint foliated structuresHolomorphic Lie algebroid connections over rationally connected varietiesBrauer--Manin obstruction from failure of Kodaira vanishing in positive characteristicReflective lattices and hyperkahler manifoldsTwisted homology jump loci, twisted Alexander polynomials, and $\Sigma$-invariantsOn the support of admissible subcategoriesSpinorial Fano manifoldsComplex abelian varieties and quantum error correction: a mathematical framework for GKP codesWeighted Seshadri constants and ellipsoid embeddingsInversion of the Multiplicative Matrix Compound OperatorJordan types commuting with a hook partitionInflection curves of rational vector fieldsLocally recoverable codes from elliptic surfaces with availability and hierarchical localityDisjunctive Sum of Squares

    35 min

  8. May 27

    多様体とコホモロジーとモジュライ空間 - 2026/5/27の論文20本

    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/2026-05-27/ $\mathbf{F}$-jumping numbers can be irrationalContracted divisors and Degree-Two MapsVarieties admitting a holomorphic symplectic form: LLV algebras and derived equivalencesRefined index obstructions for Brauer classes on an abelian varietyFoliations, slope stability, and positivity of log canonical bundles on Deligne-Mumford stacksEquivariant Maximal Cohen-Macaulay sheaves on the minimal orbit closuresThe Calculus of Blowups on a Ruled SurfaceRetraction of the complement of smooth projective curves to a $2$-dimensional $\Delta$-complexAbsolutely indecomposable quasi-parabolic $G$-bundles and the multiplicity of irreducible charactersBlowups, Gale duality, and moduli spacesVanishing of cohomology in infinitely ramified towersA classification of triangular Riemann surfaces with $2p^2$ automorphismsOn modular inequalities for plane projective curvesOn the category of semi-graded modulesAbout top-degree $L^2$- and $L^{2,\mathrm{loc}}$-Dolbeault cohomologies of complex spaces with pseudoconvex boundaryVertex operator algebras, partition functions and Teichm\"{u}ller modular formsRank-two recurrence results for polynomials and questions of dynamical Mordell--Lang typeEkedahl-Oort strata under natural embeddings of orthogonal and unitary Shimura varietiesResidual regularity in tensor triangular geometryStructural properties and tilting correspondences of perfectoid towers

    32 min
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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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