
プレプリどんどん: math.AG
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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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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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/2026-08-28/ On the geometry of Fano varieties with Lefschetz defect 2Beauville--Bogomolov--Fujiki positivity and Moishezonness of complex symplectic manifolds in Fujiki class $\mathscr C$Isocrystals on unibranch varieties and open immersionsThe Geometry of the Exceptional Component of Degree Two Foliations on $\mathbb{P}^3$Kawamata--Miyaoka type inequality for weak Fano varietiesGeometric Invariant Theory of Peterson VarietiesHolonomy and Integrability of $p$-Closed FoliationsNef cone decompositions for
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/2026-08-27/ Genus 4 Supermoduli Space Is Not ProjectedKochen-Specker Configurations from Grids on Dual QuadricsLog MMP Constraints on Curves with Cuspidal SingularitiesDimensions of type $A$ Hessenberg varieties over a fixed sheetFrom Spectral Curves to Variational Equations: Geometry and Differential Galois Theory of KdV Cnoidal WavesSpin structures and measures on the moduli space of curvesThe geography of Chern slopes with prescribed fundamental groupThe image of the constant sheaf under the geometri
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/2026-08-26/ On the Geometry of Sixers on the Fermat Cubic SurfaceAn approach to curves in abelian surfaces using Fourier--Mukai and quadratic formsA counterexample to a global-dimension bound for weighted projective linesCohomology of moduli spaces of pointed curvesQuantum invariance under non-smooth toric flops of the simplest typeThe Number of Curves of Genus 2 with a Given Refined Humbert InvariantDerived Enhancements of $T$-fixed subschemesLocal stability of Frobenius and Artin--Schreier base-change
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/2026-08-25/ The classification of generalised Kummer surfaces in positive characteristicBorder rank=rank for Kruskal tensors and a Kruskal's theorem for skew decompositionsContinuity of the tropical Prym-Torelli mapWhen is the matroid Schubert variety $\mathbb{Q}$-Gorenstein?Arithmetic Kodaira--Spencer Class and Frobenius Liftings via Frobenius--Witt Cotangent ComplexA Chow-Type theorem from asymptotic directionsA Finiteness Theorem for Quartic K3-Fibred Calabi--Yau Threefolds in ScrollsExplicit integra
arXiv math.AGの新着論文16本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-08-24/ Computing Jet Differentials and the Green-Griffiths-Lang Conjecture for Complements of Smooth Plane CurvesFujiki Class $\mathcal C$ Varieties and a K\"ahler CriterionOn a conjecture of Demailly-Peternell-Schneider: the Kahler caseTorsion of extended Chern-Simons classes for canonical extensions of flat bundlesMori theory and symplectic reduction for polygons and quiversGluing abelian categories and stability conditionsMukai bundles and Brill-Noether generality for prime Fano threefolds in po
arXiv math.AGの新着論文13本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-08-21/ A minimality criterion for surfaces of general type with applications to product-quotient surfacesGeometrically multiplicative non-archimedean normsQuadratic generation of ideals defining nonsigular toric 3-foldsExplicit birational models of marked elliptic surfaces of relative degree twoUniversal torsors over quartic del Pezzo surfaces and stable rationalityResolution of Singularities in Positive Characteristic: Frobenius-Hasse Towers and Exceptional-History DescentThe arithmetic de Rham st
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/2026-08-20/ The Hodge conjecture for Fermat fourfolds of odd degree at most 199Differential Operators on $G(r,n)$-Invariant FunctionsEquivalence of Curve Singularities and delta-InvariantsPolytopes of Effective Boundary Expressions of Divisors on $\overline{M}_{0,n}$Sixteen generators of the automorphism group of the Fermat quartic surfaceWitt groups of smooth real curves and surfacesQuadratic Cremona transformations of $\mathbb{P}^4$Weighted Galois points for $K3$ surfaces in $\mathbb{P}(1,1,1, 3)$Tori
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/2026-08-19/ F-rationality of multiplicity-free subvarietiesK-moduli of Fano threefolds of rank 2 and degree 28Quantized Volume Comparison for Fano Manifolds, IIMotivic nearby functors on perverse Nori motivesA $k$-Dimensional Version of the Largest Intersection ProblemWitt rings, Pfister forms, and equivariant birational geometrySuslin's cancellation conjecture on smooth real affine varieties with few real pointsSymmetric Differentials on K3 SurfacesCombinatorics of the Fourier transform: Stokes data, G
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/2026-08-18/ Ideal class maps on projective spaces and GrassmanniansEstimates for roots of Bernstein-Sato polynomials via log resolutions by orbifoldsThe minimal exponents of semi-quasihomogeneous and Khovanskii non-degenerate complete intersectionsOn branched coverings of the projective line over the integersK_0-motives and the Chow weight-heartUnirational del Pezzo surfaces of degree oneA six-functor formalism for syntomic cohomologyStability conditions supported on Lefschetz classesPolynomial interpol
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/2026-08-17/ Algebraic curves admitting automorphism groups of large prime square orderThe Lie algebra of polynomial vector fields on the affine space with constant divergence is $1.5$-generatedTwisted forms of classical hypersurfacesRank-two weak Fano bundles on a four-dimensional quadric hypersurface $Q^4$Scrollar invariants of singular curves on toric surfacesThe Hassett-Keel program via $\Theta$-stabilityThe alpha spectrum of K-polystable toric $\mathbb{Q}$-Fano varietiesThe Quartic Hessian Conjectur
arXiv math.AGの新着論文16本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-08-14/ Monodromy of plane curve singularities and quiver mutationVirasoro Recursions for Simplicially Stable Curves with Colliding MarkingsCollision-Hull Compression for Homogeneous Keller Maps and a Forty-Variable Counterexample to Zhao's Vanishing ConjectureRigidity for Lie algebras of locally finite derivationsTame fundamental groups of rigid spacesLower bounds for the Smith-Thom deficiency of Hilbert squaresTopological obstructions to geometric positivity and negativity on Calabi-Yau manifoldsS
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/2026-08-13/ Frobenius--Tschirnhausen amplenessA Chain- and Diagram-Level Semantics for Morphological Calculus Refinement, monodromy, and bivector orbit decompositionsDeletion-contraction properties of graphically stable spacesSemiorthogonal indecomposability for Hilbert schemes of points on integral locally planar curvesEchoes of phantoms on rational surfacesRegulators of canonical extensions are torsion:the case of two transversally intersecting smooth divisorsSharp bounds for frame counts and setwise
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/2026-08-12/ Obstructions for codimension one multiple fibers of Lagrangian and Calabi--Yau fibrationsA criterion for associated bundles and the weak Beauville--Bogomolov decompositionIntroduction to Universal Equations and Characteristic-free ResolutionOn the decomposition theorem for forgetful maps between moduli spaces of stable pointed curvesFinite quotients of sousperfectoid adic spaces need not be adicFinite monodromy groups in degenerating families and the stability degree of curvesModerate and ra
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/2026-08-11/ Disconnected multigraded Hilbert schemes on $\mathbb{P}^2\times\mathbb{P}^1$The dimension threshold for Batyrev's non-negativity conjecture on stringy Hodge numbersA remark on Banecki's theoremDeformations, local freeness, and base change for higher Du Bois singularitiesA note on geometry of Bridgeland Moduli spaces on Gushel-Mukai threefoldsAutomorphisms of very general blow upPseudo-hyperbolicity of Horikawa surfacesFundamental forms and infinitesimal symmetries of projective varietiesTang
arXiv math.AGの新着論文15本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-08-10/ A note on the self-intersection of rational unicuspidal curve with one Puiseux pairInitial Ideals, Low-degree Foliations and the Hilbert Scheme of Points on $\mathbb{CP}^{2}$: A First ApproachProjective Foliations with a Unique Singular Point and Maximum Algebraic MultiplicityCohomology Vanishing, Koszul Cohomology and Multigraded Regularity on Projective VarietiesA Deep Dive Into the Tangent Category of SchemesThe basic tropical polynomials generate the semifield of $r$-symmetric tropical r
arXiv math.AGの新着論文16本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-08-07/ Iwahori Fundamental Local EquivalenceSmooth affine surfaces properly dominated by $\mathbf{C}^*\times\mathbf{C}^*$Prym--Tyurin varieties coming from intermediate coverings of curvesOn the topology of fibers of complex polynomial mapsFrobenius--Witt cotangent complex for derived ringsThe Gromov width of generalized Bott-Samelson manifoldsA characterization of ball quotient stacksSchematic Functorialities of Birational Motivic Homotopy CategoriesJoyce's invariant and Virasoro Constraints for Q
arXiv math.AGの新着論文16本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-08-06/ Iwahori Fundamental Local EquivalenceSmooth affine surfaces properly dominated by $\mathbf{C}^*\times\mathbf{C}^*$Prym--Tyurin varieties coming from intermediate coverings of curvesOn the topology of fibers of complex polynomial mapsFrobenius--Witt cotangent complex for derived ringsThe Gromov width of generalized Bott-Samelson manifoldsA characterization of ball quotient stacksSchematic Functorialities of Birational Motivic Homotopy CategoriesJoyce's invariant and Virasoro Constraints for Q
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/2026-08-05/ A Dimension-Two Counterexample to the Separable Jacobian Conjecture in Characteristic TwoHulls, linear equivalence, and weighted superelliptic codesOrbits and Fields of Definition for Graded Keller MapsMurphy's law in non-abelian Hodge theoryUnifying singular value decompositions of tensors via aligned orthogonalityUnirationality is the same thing as Rational Connectedness in Characteristic ZeroA klt generalized pair with infinitely generated canonical ringOn Fano indices of weighted project
arXiv math.AGの新着論文36本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-08-04/ Counterexamples to the Jacobian conjecture in dimensions greater than twoLocalization and elliptic motivic relationsUniform stratified vanishing and equidistribution on $\mathbb{G}_m^d$Triple Hodge integrals and constant Poisson brackets for rank-one Dubrovin-Zhang hierarchiesArithmetic hypergeometric $\mathcal {D}$-modules and exponential sums on reductive groupsTorus-enriched Motivic Bruhat Complexes and Maximal Compact GroupsA cusp surface singularity is Frobenius liftableNash structure o
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/2026-08-03/ Notes on the Kuznetsov component of cubic sevenfoldsCellular $\mathbb{A}^1$-homology of wonderful models of subspace arrangementsOn isotrivial cone structures of highest weight typeA quadratically enriched count of lines on a smooth del Pezzo surface of degree 5Khovanskii's Bezout-type Theorem for Pfaffian Functions: A Self-Contained Proof, and ApplicationsThe motivic Lie algebra embeds into the cohomology of the general linear groupAlternating Quinary Cores of Complete Atomic Ternary $\Gamm
arXiv math.AGの新着論文8本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-07-31/ Sharp Bounds for Totally Invariant Cycles of Projective VarietiesFamilies of curves separating pointsLogarithmic Lefschetz fixed point formulae and resonant boundary indicesLog Canonical Models and Positive GeometriesStability conditions and moduli spaces on projective familiesBoundedness of polarized foliated surfacesLocal cohomology modules with nonclosed supportTranscendental Hilbert-Kunz Multiplicities
arXiv math.AGの新着論文15本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-07-30/ A Riemann-Roch theorem for Frobenius quotientsAlgebraic vs. analytic: a surveyHigher dimensional dominoes in de Rham-Witt cohomologyTwelve common flex lines in a general pencil of cubicsAn atomic criterion for irrationality without quantum computationsImage Recognition via Vaisman--Neifeld's GeometryOn the Betti numbers, Poincar\'e polynomials, and Euler characteristics of $\overline{\mathcal M}_{0,n}$Fundamental group schemes of globally F-regular varietiesA non-holomorphic P=W phenomenonSp
arXiv math.AGの新着論文15本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-07-29/ On the K\"ahler MMP and the transcendental base-point-free theoremA counterexample to a conjecture of Duncan on versal actionsThe Miyaoka-Yau inequality and the delta invariant for Fano varietiesAnalytic Bertini theorem II --- The local caseA smooth projective counterexample to Bondal-Polishchuk's conjectureCategorical absorptions of cone singularitiesType A Nilpotent Hessenberg varieties with Hessenberg function $h(i)\le i+1$Instanton slices and their superpolynomialsA Hodge Theoretic Gener
arXiv math.AGの新着論文23本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-07-28/ Corrigendum to "Nonsymplectic automorphisms of prime order on O'Grady's sixfolds"K-theory of Weighted BlowupsDe Rham-Betti Groups of Some Abelian FourfoldsUnramified Motivic Multiple Mixed ValuesSylow Criteria for Liftability of Automorphism Groups of Smooth HypersurfacesActions of $(\mathbb{Z}/4)^4$ on rationally connected threefoldsThe Chow Characteristic Image of \(\Spin(10)\) via the Affine Cone over the Spinor VarietyProjective moduli of log Calabi--Yau fibrations over curvesStratified
arXiv math.AGの新着論文9本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-07-27/ A topological Chern character for matrix factorizationsRank-one convexity, polyconvexity, and extremality for three-dimensional elasticity tensors in various symmetry classesCritical loci of self-maps of projective spaceModuli of atoms of complex projective varietiesBase-change of locally stable families in positive characteristicIncidence equivalence, a surveyUlrich sheaves and determinantal representations for higher secant varieties of curvesGeneralizations of the Scorza correspondenceA fi