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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. 1d ago

    特殊多様体と代数構造 - 2026/10/30の論文63本

    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 numbersPoincar\'e series of degree-two Chow varietiesAutomorphism groups of smooth quartic threefoldsSolid Arithmetic D-modulesThe Kawatani--Okawa conjecture in dimensions three and fourCompatibility of Perverse Truncation of Ng\^o FibrationsA Yau-Tian-Donaldson correspondence for degenerationsOn Terao's conjecture for at most nine planesDegenerate complex structures on surfaces and stability conditionsHarmonically lifting linear series from curves to K3 surfacesHolomorphic 1-forms without zeros on K\"ahler manifoldsThe Kodaira dimension and minimal models of $\mathcal{A}_6$The $6\frac{1}{2}$-functor formalism of Cartier modulesGalois module structure of Deligne--Lusztig varieties for $\mathrm{GL}_3$Degeneration of (-1)-shifted symplectic stacks and categorification of Donaldson-Thomas invariantsModuli space of irregular singular $\lambda$-connections and the relative symplectic formAsymptotic GIT-stability of KSB-stable varietiesPartial Airy ideals and coloured blobbed topological recursionMoment Polyptychs and the Equivariant Quantisation of Hypertoric VarietiesGeometric properties of the analytic Emerton-Gee stackTest ideals can be computed by boundariesAn analogue of $\Gamma$-function for irreducible cuspidal representations of the group $\mathrm{GL}(2)$ over a two-dimensional local fieldProjective compactifications of hypersurface complementsThe Borisov--Nuer conjecture and root decompositions in even unimodular Lorentzian latticesNevanlinna Theory on Berkovich CurvesProjected Brion's theoremComparing metric completions of triangulated categories with Verdier quotientsA Uniform Upper Bound on the Length of MDS Codes from Genus-Two CurvesOn equivariant affineness in elliptic cohomologyFormality transmissionA dynamical approach to Frobenius splittingFinite-rank rigidity and Nash-curve discreteness for correlation potentialsPermutation twisted cohomology, reduced and immersedThe Number of Tropical Order Types and Coherent Matching FieldsMulticomplexes in Action: Strong Formality of Compact Hyperk\"ahler Manifolds

  2. 3d ago

    構造的幾何学と安定性理論 - 2026/10/28の論文48本

    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 Height One Lift to Characteristic 0Maximal geometric quotients of flag varietiesEffective Gromov-Witten computations for GKM spaces and a semisimple applicationToric Varieties from Multiple Zeta ValuesOn $\mathbb{P}^1$-bundles on $\mathbb{P}^3$ that are small modifications of a Fano fourfoldLocalization, cobordism, and twisted $\chi_y$-genera of $\overline{\mathcal{M}}_{0,n}$Hodge--Riemann relations for nef bundlesWhen Polynomial Multiplication Counts Geometry: Schubert Polynomials and Monk's RuleFukaya categories of surfaces with DG coefficientsUniform local models of quasi-unipotent $p$-adic differential equationsPointwise to global good reduction problemsInteger points for iterated Weierstrass elliptic functionsGross--Prasad conjecture in geometric LanglandsOn the $d$-invariants of Brieskorn spheres and $\mathrm{GL}(2,\mathbb{Z})$Helly theorems for lattice of flats of a matroidCounting the Fixed Points of Binary Belief Propagation: Generic Degree, Syzygies, and Real SolutionsFrom amplituhedra to flagtopesA nilpotent version of the first Kac conjectureLocalization of weighted Goldman volume on $\mathrm{SL}(3,\R)$-Hitchin ComponentFinite group actions on the non-minimal nilpotent orbit closures in type AGeneric tensor products are not maximal

  3. 4d ago

    ホッジとWeilとスキームの構造 - 2026/10/27の論文48本

    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 surfacesUniqueness of the maximal function field with the third largest genus in characteristic $3$The Hodge-to-de Rham spectral sequence can be arbitrarily non-degenerate in positive characteristicSolvability and nilpotence of ind-groups via tangent curvesSymplectic singularity as hyperK\"ahler conePositivity of Relative Pluricanonical Direct Images via Fixed-Point MetricsMaximal curves with trivial automorphism groupCharacterising canonical lifts of ordinary Calabi-Yau varietiesOne ring to rule them all: syzygy maximization for Argyres-DouglasHeight growth of rational self-mapsPolynomial Residual Networks are Generically IdentifiableRamification in $\mathbf{E}_{n}$-algebrasHomological and homotopical epimorphisms in monoidal $\infty$-categoriesHartl's dictionary and a transcendence characterization of equicharacteristic local shtukas with complex multiplicationDynamical Chowla conjecture for polynomials of several variablesFaithful Localization of Vertex Algebra ModulesIntersection multiplicity of a sparse curve and a trinomial curveGeometry of holonomic modules over the first Weyl algebraUniform large-genus asymptotics of Weil-Petersson volumesHow to get an attractive model

  4. 5d ago

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

    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

  5. Oct 23

    幾何学的構造と代数解析 - 2026/10/23の論文30本

    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

  6. Oct 22

    A判別式と接続と反例 - 2026/10/22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/2026-10-22/ 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

  7. Oct 21

    スタックとホッジ理論とモジュライ - 2026/10/21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/2026-10-21/ 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, Christoffel transformations and symmetric $d$-connectionsGeneric finiteness of solutions to parametrized systems of generalized polynomial inequalities

  8. Oct 20

    特異点とモジュライ空間とモチーフ - 2026/10/20の論文66本

    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 surface singularities via representations from logarithmic vector fieldsCharacteristic cycles and non-acyclicity classes for constructible \'etale sheavesFree abelian group actions on projective fibered varietiesCohomological Milnor Fibrations of Landau--Ginzburg ModelsTerao's freeness conjecture for arrangements of 15 and 16 linesMONODROMY AND BIG QUANTUM COHOMOLOGY OF HYPERPLANE SECTIONS OF (CO)ADJOINT VARIETIESGauss-Manin connection in disguise: limiting periods and quasi-Jacobi formsAmpleness of non-symmetric line bundles on degenerations of abelian varietiesOn the hyperplane conjectureA Sarkisov Involution from a Rational Cubic Curve on a Quartic Double SolidKawamata-Viehweg and Lipman's vanishings for sequences of blow-ups at regular closed pointsMellin transformed exponential volumes and probabilistic moduli spacesRigidity of algebraic sets with small distortionMeromorphic modular differential equations for the elliptic genus of Calabi--Yau varietiesWeights of KZ motives and quantum groupsSumsets regularity versus Castelnuovo-Mumford regularity for monomial curvesSplit Normal Bundles and Rigidity of Holomorphic Immersions from Compact Ball QuotientsK\"ahler-Ricci Flow is Symplectic Deflation plus an Exact Symplectic Deformation$\frac{1}{2}$ derivations and biderivations of 3-dimensional nilpotent Lie-Yamaguti algebrasA characterization of generalized derivations and biderivations on some simple algebrasEynard-Orantin Topological Recursion, Moduli-Space Virasoro Constraints, and Semisimple CohFTsRank and Border Rank Additivity of Complex Tensors with a Hankel SummandSpectral Curves for Semisimple Conformal Frobenius ManifoldsThe center conjecture for cyclotomic Hecke algebras and cohomology of quiver varietiesPrekosmic Grothendieck/Galois CategoriesSemi-supervised learning on singular data setsEquidistribution, multipliers, and moving targets in polynomial familiesUpper bounds on the number of images produced by point-mass lenses at different distancesOn The Manin ConstantRational Points on Drinfeld Modular Curves of Prime LevelA Fourier expansion principle for coherent cohomology of powers of Tate curvesTwisted logarithmic de Rham complexes and the rational hit conjectureCounting Irreducible Components of the Semistable Global Nilpotent ConeMillicharged particles and the degree-3 Prouhet-Tarry-Escott problemPellarin Values from Cauchy Coordinates on Arbitrary CurvesAdditive invariants of Finite-dimensional DG-algebrasOn the notion of $\mathbb{A}^1$-coveringsA study of the $m$th relative Feng-Rao distances with a special emphasis on $C_{ab}$ curvesEisenstein series for orthogonal groups and Kneser neighboursSocle formulas for rigid irreducible components of Lusztig's nilpotent varieties in type $A$$\mathbb{C}$-Motivic Eilenberg-Mac Lane Spectra as $\mathrm{MGL}$-Motivic Thom Spectra and Normed $\mathbb{G}_m$-Hochschild Homology

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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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