プレプリどんどん: math.AG

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/

1. On the torsion in the Chow motive of an Enriques surface
2. Cohomology on Cotangent Bundles of Partial Flag Varieties in Type A
3. Heisenberg Equivariant Compactifications of Rational Homogeneous Varieties
4. Moduli of Conics on General Plucker Linear Sections of Grassmannians
5. q-Opers and Quantum/Classical Duality Beyond Type A
6. Relative Brauer groups and Kummer Sequence without characteristic constraint in $fppf$-topology
7. Superconnections, descent, and monodromy on transversely holomorphic foliations
8. Legendrian families of lines on nilpotent orbit closures
9. Parahoric motivic Hecke categories in equal and mixed characteristic
10. A flatness criterion for pseudo-effective sheaves on compact K\"ahler spaces
11. Semiorthogonal decompositions for families of twisted flag varieties
12. Filtrations on D-modules and multiplicities of roots of Bernstein-Sato polynomials
13. Coleman Isomorphisms in Syntomic Cohomology and $\mathrm{THH}$
14. Positivity of Smooth Currents on Singular Spaces
15. The Weighted Walks in Quadrant with Finite Groups: an Algebro-Geometric Approach
16. Deformations of K\"{a}hler and Balanced Hyperbolicity
17. The coordinate ring of the k-fold iterated commutator locus for 2x2 matrices

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/

1. Artin-Schreier geproci configurations in projective spaces of arbitrary dimension
2. Equilibria for Networks of Linear Translational Springs
3. Experiments with membranes, maps and sheaves
4. Some generalizations of Oort's conjecture
5. Characteristic-free characterizations of projective space for smooth toric varieties
6. Log canonical models of a fixed variety with varying boundaries
7. Grassmann--Pl\"ucker Parametrization of Convolutional Filter Subspaces: Regularity and Closed Embeddings
8. A note on the noncommutative Hodge conjecture for graded matrix factorizations
9. New bounds for the support of input-output equations in differential-algebraic systems
10. A Polynomial PDE Criterion for the $-n/d$ Root of the Bernstein-Sato polynomial of Homogeneous Ideals
11. Characterizing Contractions and Weighted Blowdowns
12. An obstruction to the maximal singularity of the Hilbert scheme of points on threefolds
13. Oort's conjecture for split unitary Shimura varieties
14. Log-concavity and unimodality of Hodge numbers of Hilbert schemes of points over a surface
15. An upper bound for an exceptional automorphism group
16. Poincare Polynomials of Heavy-Light Hassett Spaces
17. Conical Defects in JT Gravity from BF Theory: Quantization, Fusion, and Weighted Moduli Spaces
18. Generalized Telescope Conjecture
19. The Lie group-Lie algebra correspondence in tangent categories
20. Relative approximation degrees and the henselian rationality problem over perfect fields
21. Stratification of Artin motives over local fields
22. Airy limit for the Jack process and topological expansion
23. Universal Pl\"ucker positivity and the Octopus inequality
24. Projective embedding of degenerating family of K\"ahler-Einstein manifolds with normal crossing limit
25. Additive diameters and covering complexity of irreducible representations
26. A note on bounded ratios

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/

1. A comparison theorem for relative regular holonomic D-modules
2. Essential Dimension and Faithful Rank of Finite p-Gerbes
3. A logarithmic Bogomolov--Sommese vanishing theorem on compact K\"ahler manifolds
4. Contact fundamental forms and adjoint varieties
5. Groups of Transverse Stratifications and the Hierarchy of Configuration Spaces
6. Degree of irrationality of abelian surfaces
7. Membranes and Maps
8. Nef Cones of Hilbert Schemes of Orthogonal Grassmannians
9. Finite Directional Coefficient Modules over Euler Fibers of $A$-Hypergeometric Systems
10. Flexibility of affine cones over blow-ups of weighted projective planes
11. Non-nef loci in mixed characteristic
12. Smooth Counterexamples to the Eisenbud--Schreyer--Weyman Ulrich Existence Problem
13. Characterization of Stanley-Reisner varieties by their automorphism group
14. Local dimension testing via quadratic obstructions
15. Finite extensions of abelian schemes and duality for commutative group stacks
16. On everywhere locally soluble varieties in families over toric bases
17. The bounded area class of negatively curved surfaces
18. Integrable Generators of Polynomial Vector Fields for Complex Classical Lie Groups
19. Asymptotics of holomorphic torsion on orbifolds and an equivariant arithmetic Hilbert-Samuel theorem
20. The Borovik-Cherlin conjecture holds in ACF
21. Frobenius Alexander quandles, knot colorings, and isogeny classes of abelian varieties over finite fields
22. A computational approach to maximum likelihood thresholds for colored Gaussian graphical models
23. The Hasse norm principle for $A_4$-quartic extensions of global function fields
24. Prescribed Lelong Numbers for One-Pole Green Functions on Complex Projective Space
25. Most $(0,1)$-polytopes are not normal
26. Estimating the number of real zeros of linear combinations of radicals of polynomials

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/

1. Calabi-Yau Threefold Singularities and their Universal Quilts
2. Nonexistence of degree two rational multisections of conic bundles over the plane
3. Thom series in negative relative codimension
4. A holomorphic (2, 2)-Theorem for Abelian varieties of CM-type
5. The Absolute Twistor Line and the Geometry of $\overline{\text{Spec}\, \mathbf Z}$
6. Weighted Syzygies of Pointed Curves
7. Infinite transitivity of tame groups of automorphisms of affine spaces
8. Hodge--Tate splitting and Akizuki--Nakano vanishing in positive characteristic
9. Bounded cohomology property on Jacobian elliptic surfaces with simplicial Mori cones
10. Deciding superellipticity and computing the Weierstrass normal form
11. An integral Hyodo--Kato isomorphism
12. Deformations of Compact Calabi--Yau and Fano Varieties with Isolated Singularities
13. Extended Abstract of Counting Divisorial Contractions with Centre a $cA_n$-Singularity
14. Isoperimetric Problems on cyclic polygons
15. On Algebraic Integrability of Vector Fields with Rational Function Coefficients that Separate Variables
16. Towards Categorical K\"ahler Geometry
17. Euler obstructions and Verdier specializations
18. Resultant multiplicity via projective degrees and applications to tensor eigenvalues
19. Openness of Fourier--Mukai loci for algebraic spaces
20. Virasoro Constraints for Orbifold Curves
21. Cohomology characters on the incidence correspondence
22. K-stability and birational rigidity of Fano 3-fold weighted complete intersections
23. Parabolic Lie algebroid connections on parabolic principal bundles over curves
24. Singularities of star cluster algebras
25. 144 real circles tangent to three conics
26. A linear bound for Fujita's freeness conjecture
27. Subleading Collinear Limits of Yang-Mills Amplitudes from Gravity
28. On a construction of hermitian metrics on holomorphic vector bundles
29. Exceptional points on Atkin--Lehner quotients
30. $A_1$ - Coulomb branches over finite fields and Selberg Character sums

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/

1. The Tate conjecture for abelian fourfolds over finite fields
2. Singular Points on Positroid Varieties and Planar N=4 Supersymmetric Yang-Mills Theory
3. Nonnegative conorms, regular matroids, and the tropical Schottky problem
4. Noncommutative Hourglasses II 1/2: Derived Category of Birational Linkage with Well-Formed Singularities
5. All genus open mirror symmetry for footballs
6. Ample vector bundles on non-proper schemes
7. Six-functor formalism for Kummer \'etale cohomology of log schemes
8. Quasimap critical cohomology, Coulomb branches, and quantum groups
9. The Picard number of fibred Mori dream surfaces
10. Infinitesimal Deformations of Generalized Parabolic Hitchin Pairs
11. Weil's Theorem for Logarithmic Connections on Irreducible Nodal Curves
12. Wall-crossing formula and genus-one Virasoro conjecture for Fano complete intersections
13. Birational Automorphism Bounds for General-Type Foliations on Surfaces via Pluricanonical Indices
14. Tropical Matsusaka and Matsusaka--Ran Criteria
15. Compactification of $\operatorname{SL}(3,\mathbb{C})$-Character Varieties of Surfaces via Skein Algebras
16. A Note On the moduli space of rank two vector bundles on Hirzebruch surfaces
17. Abundance of affine algebraic structures on stabilized cotangent bundles of surfaces
18. Kempe factorizations for rational curves on $\operatorname{SO}_4(\mathbb{R})$
19. On the first-order deformations of seminormal affine toric varieties
20. Degenerations of elliptic quartics and K-moduli of Fano threefolds
21. Semiorthogonal decompositions of stable $\infty$-categories
22. A remark on polycyclic groups of birational automorphisms
23. Type of homomorphisms of complex tori
24. Flat connections on moduli spaces I: Local (1,0)-extension of the DHS connection
25. Generalized Jantzen filtration, hyperbolic restriction, and characteristic cycles
26. Rigidity of the period map up to finite covers
27. The arithmetic rank of nullcones of classical invariant rings
28. The $(\infty,\infty)$-category of spans
29. Generalized Hamming Weights of AJ-Gorenstein One-Point Codes
30. Sasaki-Einstein metrics on connected sums of $S^3\times S^4$
31. The arithmetic of critical values II: critical elliptic curves
32. Proof of the planar Khavinson-Shapiro conjecture
33. Picture groups and green sequences from the perspective of Ringel--Hall algebras
34. A New Algebraic Algorithm for LWE
35. Transcendental Morse inequality on K\"ahler manifolds
36. Poisson blow-ups and the adjoint quotient
37. Thresholds of singularities in characteristic zero
38. GIT for root stacks and 3d mirror symmetry
39. No Equivariant Architecture Covers All Equivariant Attention
40. An Explicit Belyi Map for the Wiman Sextic and Cusp Forms for a Noncongruence Subgroup
41. Finiteness and rigidity of optimal destabilizing subvarieties for the J-equation
42. Bosonic codes from compact phase spaces

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/

1. 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 surfaces
2. Orbifold Degenerations of Hirzebruch Surfaces
3. Finding large families of rational curves through Bend-and-Break
4. Singularity Categories of Simple Singularities in Positive Characteristic
5. $K_2$-regularity is equivalent to smoothness for toric varieties
6. The Segre invariant and Brill-Noether theory on Hirzebruch surfaces
7. Metric-geometric Chow theorem
8. On Frobenius rigidity for motivic cohomology
9. Degree of irrationality of properly elliptic surfaces
10. Syzygies of Polarized Abelian Surfaces: A Reider-Type Criterion
11. A non-klt counterexample to Shokurov's index conjecture
12. Independence of the Grothendieck classes of twisted symplectic flag varieties
13. The Global Dimension Function on Stability Manifolds
14. Arithmetic purity of strong approximation for toric varieties with constant global sections
15. Local inequalities for $cD$ and $cE$ singularities
16. Fujita freeness for projectivized toric vector bundles
17. Betti bounds for spaces of curves on varieties and Manin's conjecture for quartic del Pezzo surfaces
18. On Manin's conjecture for quartic del Pezzo fibrations
19. The Saito determinant for extended affine Weyl discriminant strata
20. Quantum Information at Infinity
21. Positive Geometry of Yang-Mills Correlators
22. Algebraic implicitization techniques in the graphical models program
23. On cluster deep loci in double Bruhat cells
24. Simplicial arrangements in real projective three-space revisited
25. The Algebraicity Problem for Hard-Core Entropy Constants on the Discrete Hypertori
26. Rational torsion on simple genus two Jacobians
27. A ridgeline correspondence criterion: the number of modes of a Gaussian mixture is finite

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/

1. On the geometry of Fano varieties with Lefschetz defect 2
2. Beauville--Bogomolov--Fujiki positivity and Moishezonness of complex symplectic manifolds in Fujiki class $\mathscr C$
3. Isocrystals on unibranch varieties and open immersions
4. The Geometry of the Exceptional Component of Degree Two Foliations on $\mathbb{P}^3$
5. Kawamata--Miyaoka type inequality for weak Fano varieties
6. Geometric Invariant Theory of Peterson Varieties
7. Holonomy and Integrability of $p$-Closed Foliations
8. Nef cone decompositions for nested Hilbert schemes of points on surfaces
9. Non-existence of separating morphisms of low degree
10. Rank Two Sheaves With Maximal Third Chern Class on the Fano Threefold of Index 2 and Degree 5
11. Generalised Cone Conjecture, II: Generic Sakai surfaces
12. Toric vector bundles and the number of zeros of vertical systems
13. Finite group schemes as fundamental group schemes of smooth projective varieties
14. Nash Loci
15. Numerical Godeaux Surfaces with many disjoint $(-2)$-curves and Applications
16. Divisors in projective bundles over the projective line whose complement is affine space
17. Proper moduli spaces of isolated non-normal singularities
18. Disjoint and nearly disjoint sums of matrix multiplication tensors and their centroids
19. Towards the Global Torelli Theorem
20. $\mathbb{F}_q$-linear relations among Thakur's multiple zeta values in positive characteristic
21. Transcendental Numerical Dimension and Rational Quotients in K\"ahler Geometry
22. Quasi-polynomiality and $N$-point functions of single connected leaky completed Hurwitz numbers
23. Linear Independence of Polynomial Compositions and Identifiability of Deep Neural Networks
24. Quadratic Complexity of Voronoi Diagrams in $\mathbb{R}^3$ for Lines in a Single Ruling of a Regulus
25. Exceptional covers of the projective line with genus-one Galois closure: arithmetic forms over finite fields
26. Noncommutative Cluster Varieties and Moduli Spaces of Local Systems
27. Birch's theorem over function fields with quadratically many variables
28. Delta theory of Anderson Modules II: Hodge-Pink structure

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/

1. Genus 4 Supermoduli Space Is Not Projected
2. Kochen-Specker Configurations from Grids on Dual Quadrics
3. Log MMP Constraints on Curves with Cuspidal Singularities
4. Dimensions of type $A$ Hessenberg varieties over a fixed sheet
5. From Spectral Curves to Variational Equations: Geometry and Differential Galois Theory of KdV Cnoidal Waves
6. Spin structures and measures on the moduli space of curves
7. The geography of Chern slopes with prescribed fundamental group
8. The image of the constant sheaf under the geometric Langlands equivalence
9. Topological String Blowup Equations via Stable Pairs
10. Quasi-Galois points for quartic surfaces
11. Tautological Pushforwards of Hilbert Schemes of Points on Curves and Surfaces
12. Multiplicity-One Cox Rings of Toric Point Blow-Ups
13. On the Multiplicative Thom-Sebastiani Property for Bernstein-Sato Polynomials of Ideals
14. On monodromy of monodromy surfaces
15. The platonic elliptic surfaces
16. The Moduli Space of Determinantal Representations of Cubic Surfaces and Invariant Theory of Root Systems
17. Uniform non-homogeneous bundles on quadrics
18. Quasimaps to Nakajima varieties as critical loci
19. Cyclic covers via mixed Hodge modules
20. When are tropical multidegrees positive?
21. Crepant partial resolutions of the nilpotent cone via Hamiltonian reduction
22. Generalised Cone Conjecture, I: Beyond Calabi--Yau
23. Negative Effective Divisors and Bridgeland Stability of Line Bundles on Surfaces
24. The Multivariable Strong Monodromy Conjecture for Plane Curves
25. Equivariant Localization for N=2 Theories with Hypermultiplets
26. Remarks on Vafa-Witten theory, or how to sit on a wall
27. On the Representational Geometry of Dynamic Programs
28. A Classification of Self-Maps of Generalized Grassmannians
29. Rigid analytic 1-motives and conjugate uniformization of abeloid varieties
30. Arithmetic theta invariants and arithmetic equilibrium measures

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/

1. On the Geometry of Sixers on the Fermat Cubic Surface
2. An approach to curves in abelian surfaces using Fourier--Mukai and quadratic forms
3. A counterexample to a global-dimension bound for weighted projective lines
4. Cohomology of moduli spaces of pointed curves
5. Quantum invariance under non-smooth toric flops of the simplest type
6. The Number of Curves of Genus 2 with a Given Refined Humbert Invariant
7. Derived Enhancements of $T$-fixed subschemes
8. Local stability of Frobenius and Artin--Schreier base-change: a comparison
9. Unobstructedness of affine Gorenstein terminal toric fourfolds
10. Iterated Cartier Flux and Non-Finite Generation of Tame Polynomial Automorphism Groups over Finite Fields
11. Descent and Brauer-Manin Obstructions on Deligne-Mumford Stacks
12. Splitting and loop theorems in logarithmic Gromov--Witten theory
13. The bracket width for Lie algebras of vector fields is finite
14. The tangent bundle of a generalized Kummer fourfold is obstructed
15. An Explicit Counterexample to the Rank-Two Poisson Conjecture
16. Eventual Nonstandard Koszulness Fails for Veronese Subrings of Weighted Polynomial Rings
17. Quantum Algorithms and Hardness for Point-Count Approximation over Finite Fields
18. Geometric Realization of Finite Residue Casimirs and Weil Operators via Szeg\H{o} Kernels
19. Reeb spaces of 1st derivatives of proper submersions of certain classes
20. A conjectural construction of Arthur packets in Fargues-Scholze's categorical local Langlands correspondence
21. Periods of Oka K3 surfaces are dense
22. A Buium--Coleman bound for the Zilber--Pink conjecture for curves inside abelian varieties
23. The Smooth Narrow Mordell-Weil Group of Elliptically Fibered 4-Manifolds
24. Permutation and exceptionality of rational functions from equivariant elliptic isogenies over finite fields
25. Kloosterman sheaves and Bessel functions for generic principal series of finite groups

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/

1. The classification of generalised Kummer surfaces in positive characteristic
2. Border rank=rank for Kruskal tensors and a Kruskal's theorem for skew decompositions
3. Continuity of the tropical Prym-Torelli map
4. When is the matroid Schubert variety $\mathbb{Q}$-Gorenstein?
5. Arithmetic Kodaira--Spencer Class and Frobenius Liftings via Frobenius--Witt Cotangent Complex
6. A Chow-Type theorem from asymptotic directions
7. A Finiteness Theorem for Quartic K3-Fibred Calabi--Yau Threefolds in Scrolls
8. Explicit integration, birational models and symmetries of Lins Neto's exceptional families of foliations
9. A L\^e number addendum to the Morse Splitting Lemma
10. Algebraically trivial tropical cycles are smash-nilpotent
11. On the projectivity of compactified universal Jacobians
12. Gopakumar-Vafa Invariants for Local Calabi-Yau Orbifolds of $A_{N}$-type
13. Degree of irrationality of a product of two elliptic curves
14. Point Counts of Cluster Varieties of Marked Surfaces Over Finite Fields
15. Unirational Fano threefolds
16. A counterexample to Bruzzo's curve semistability conjecture for Higgs bundles
17. A motivic derived Fourier transform
18. The Bondal-Orlov Localization Conjecture Holds for Threefolds
19. Intermediate hyperbolicity of varieties supporting a variation of Hodge structure
20. Invariant two-jets and effective hyperbolicity for complements of two plane curves
21. Derivations of Generalized Moduli Algebras of Isolated Hypersurface Singularities
22. On the existence of minimizer on a log Fano cone singularity
23. On smooth affine surfaces with the cohomology of a smooth projective curve
24. Equidistribution for quasi-projective varieties over function fields
25. The invariant ring of degree-four rational maps on the projective line
26. Spin volumes of minimal strata and Chiodo integrals
27. Wall-crossing for equivariant DT4 invariants
28. A Complete Characterization of Realizable (Embedding Dimension, Multiplicity) Pairs for Complete Intersection Numerical Semigroups
29. Uniformity in rational torsion and small points on abelian varieties
30. Generically Ordinary One-parameter Hyperelliptic Families are Dense
31. On the Hilbert series of ideals generated by general linear forms
32. $p$-adic Equidistribution of Special Loci in a Product of Modular Curves
33. Pipe Dream Rectification and Dual RSK Correspondence