プレプリどんどん: math.AG

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/

1. Computing Jet Differentials and the Green-Griffiths-Lang Conjecture for Complements of Smooth Plane Curves
2. Fujiki Class $\mathcal C$ Varieties and a K\"ahler Criterion
3. On a conjecture of Demailly-Peternell-Schneider: the Kahler case
4. Torsion of extended Chern-Simons classes for canonical extensions of flat bundles
5. Mori theory and symplectic reduction for polygons and quivers
6. Gluing abelian categories and stability conditions
7. Mukai bundles and Brill-Noether generality for prime Fano threefolds in positive characteristic
8. Prime Fano threefolds in positive characteristic
9. Locally Acyclic Surface Type and Finite Type Cluster Algebras Have No Mysterious Points
10. Hyperelliptic Brill-Noether loci
11. Slope stability of tangent bundles of smooth toric Fano varieties
12. Maximal and minimal curves of the form $y^3=x^{(q^2+1)/2}+x$
13. Arithmetic $\mathcal{D}$-modules over Laurent series fields: the relative case
14. A counterexample to the bounded mass property
15. Anabelian Geometry in Families
16. Richardson tableaux and Motzkin paths

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/

1. A minimality criterion for surfaces of general type with applications to product-quotient surfaces
2. Geometrically multiplicative non-archimedean norms
3. Quadratic generation of ideals defining nonsigular toric 3-folds
4. Explicit birational models of marked elliptic surfaces of relative degree two
5. Universal torsors over quartic del Pezzo surfaces and stable rationality
6. Resolution of Singularities in Positive Characteristic: Frobenius-Hasse Towers and Exceptional-History Descent
7. The arithmetic de Rham stack
8. Disproof of the Yau--Tian--Donaldson conjecture
9. Ribet Points, geometric divisibility sequence and order of reductions on semiabelian varieties
10. Supergroup Gauged Linear Sigma Models and their Physical Mathematics
11. Eigensolvers for polynomial roots and tensor decomposition
12. Positive scalar curvature K\"ahler metrics and shifted $K$-stability
13. Exact Algebraic Computation of Learning Coefficients for Two-Dimensional Singular Models

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/

1. The Hodge conjecture for Fermat fourfolds of odd degree at most 199
2. Differential Operators on $G(r,n)$-Invariant Functions
3. Equivalence of Curve Singularities and delta-Invariants
4. Polytopes of Effective Boundary Expressions of Divisors on $\overline{M}_{0,n}$
5. Sixteen generators of the automorphism group of the Fermat quartic surface
6. Witt groups of smooth real curves and surfaces
7. Quadratic Cremona transformations of $\mathbb{P}^4$
8. Weighted Galois points for $K3$ surfaces in $\mathbb{P}(1,1,1, 3)$
9. Toric Representation Type of the Veronese Surface
10. All-Genus Large-Degree Asymptotics for Gromov--Witten Invariants of the Projective Plane
11. Differentiable approximation of continuous locally definable maps that preserves the image
12. On the Density of Polynomial Mappings Satisfying the Jacobian Conjecture
13. Equations of Tree Tensor Network Varieties
14. On the Hessian Conjecture in Lorentzian Signature: Constant Pivots and Hesse Systems
15. Donaldson-Sun Theory in the Conic Case
16. Boundaries of logarithmic Voronoi cells can be transcendental
17. On $p$-adic solubility of $Ax^\ell + By^m + Cz^n = 0$
18. Finite-coefficient K-theory of henselian valued fields and Gersten injectivity
19. Products of trees and ${\rm PGL}_2$-torsors over the punctured affine line
20. The $6\times6$ equality case of matrix spaces with rank-two commutators
21. K\"ahler-Ricci Tangent Flows in the Analytic Minimal Model Program

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/

1. F-rationality of multiplicity-free subvarieties
2. K-moduli of Fano threefolds of rank 2 and degree 28
3. Quantized Volume Comparison for Fano Manifolds, II
4. Motivic nearby functors on perverse Nori motives
5. A $k$-Dimensional Version of the Largest Intersection Problem
6. Witt rings, Pfister forms, and equivariant birational geometry
7. Suslin's cancellation conjecture on smooth real affine varieties with few real points
8. Symmetric Differentials on K3 Surfaces
9. Combinatorics of the Fourier transform: Stokes data, Gale duality and frieze patterns
10. A note on smooth quotients of Prym varieties
11. Combinatorial Hodge Index Theorem for Polytopes
12. Obstructions to intrinsic perturbation for $A$-hypergeometric series
13. Counterexamples to Sato's Weak F-Equivalence Conjecture and a Gorenstein Refinement
14. Pure gravity OPE density for genus-two handlebody in $\text{AdS}_3$
15. On Buzzard's Theoren
16. Cotangent Models of Nilpotent Orbit Closures
17. Cohomological rigidity of smooth toric Fano fourfolds
18. A Structural Property of Generic Initial Ideals
19. Intersecting families and nonvanishing multivariate polynomials over finite fields

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/

1. Ideal class maps on projective spaces and Grassmannians
2. Estimates for roots of Bernstein-Sato polynomials via log resolutions by orbifolds
3. The minimal exponents of semi-quasihomogeneous and Khovanskii non-degenerate complete intersections
4. On branched coverings of the projective line over the integers
5. K_0-motives and the Chow weight-heart
6. Unirational del Pezzo surfaces of degree one
7. A six-functor formalism for syntomic cohomology
8. Stability conditions supported on Lefschetz classes
9. Polynomial interpolation and the Waldschmidt constant of points in projective space
10. Some explicit counter-examples to Weibel's conjecture
11. Quot scheme of points on torus knot singularities
12. Singularities of rational maps: foundations and surfaces
13. Monodromy of stratified vector bundles
14. Degrees of Genus-Two Split-Jacobian Loci and Humbert-Form Reconstruction
15. Tangent cones to Schubert varieties for Kac--Moody groups
16. Twisted Deligne modules and abelian varieties over finite fields
17. A Sharp inequality between local volumes and minimal log discrepancies
18. Gromov-Witten theory of abelian varieties in families and modular forms
19. The quantum Hikita conjecture via quasimaps
20. An answer for a Mistretta-Stoppino's conjecture
21. Topological perspectives on the vanishing of some Bogomolov multipliers
22. Eigenvalues of locally positive semidefinite matrices: Non-convexity and Geometry
23. $F$-injectivity does not deform
24. Metric Degenerations and Satake Compactification of Enriques Surfaces
25. Positive Singularities and Volumes in Scattering Amplitudes
26. Critical-point-free energy for fractional-Toledo representations
27. Extremal mappings of tori, Teichm\"uller potentials and symmetric-space distance
28. Oort's conjecture on supersingular abelian varieties in odd characteristic
29. Nilpotent representations over equioriented cyclic quivers

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/

1. Algebraic curves admitting automorphism groups of large prime square order
2. The Lie algebra of polynomial vector fields on the affine space with constant divergence is $1.5$-generated
3. Twisted forms of classical hypersurfaces
4. Rank-two weak Fano bundles on a four-dimensional quadric hypersurface $Q^4$
5. Scrollar invariants of singular curves on toric surfaces
6. The Hassett-Keel program via $\Theta$-stability
7. The alpha spectrum of K-polystable toric $\mathbb{Q}$-Fano varieties
8. The Quartic Hessian Conjecture in Dimension Four
9. The cone theorem for effective fourfold pairs in characteristic $p>5$
10. Estimation of calculation errors and resolution of singularities
11. Weight decomposition for toroidal abelian fibrations
12. Semi-abelian reduction of Albanese varieties
13. Classifying Smooth Quot Schemes
14. Effective Bialynicki-Birula-Brosnan motivic decompositions
15. A remark on the full support property
16. Compressive Domains and a Bound for the Number of Components of the Fixed Locus of a Self-Map of the Berkovich Line
17. Feasibility problem for the radii of Steiner 4-chains
18. On the Existence of Hyperelliptic Curves over $\mathbb{Q}(T)$ with Certain Jacobian Ranks
19. Homological Mirror Symmetry for Affine Log Calabi-Yau Surfaces
20. An intrinsic characterization of the Bogdanov-Takens normal-form coefficients and a mixed-volume obstruction to non-isolated degeneracies
21. A structural trace identity and certified spectra for the Richelot-Brandt graph
22. Counting non-attracting subtrees and the equidistribution of repelling points
23. Gluing parabolic character sheaves
24. A greedy open-orbit criterion for solvable algebraic group actions, with applications to Lusztig's nilpotent varieties
25. Finite Gaussian Reconstruction of Polynomial Orbits: From Correlated Moments to Oscillatory Periods
26. On Galois extensions of geometric fixed point spectra

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/

1. Monodromy of plane curve singularities and quiver mutation
2. Virasoro Recursions for Simplicially Stable Curves with Colliding Markings
3. Collision-Hull Compression for Homogeneous Keller Maps and a Forty-Variable Counterexample to Zhao's Vanishing Conjecture
4. Rigidity for Lie algebras of locally finite derivations
5. Tame fundamental groups of rigid spaces
6. Lower bounds for the Smith-Thom deficiency of Hilbert squares
7. Topological obstructions to geometric positivity and negativity on Calabi-Yau manifolds
8. Supersymmetry, differential operators of infinite order and theta functions
9. Algebraic cycles and Fano threefolds of genus 7
10. Tropical and algebraic elliptic plane curves with fixed j-invariant
11. Equivalences via twisted hyperholomorphic sheaves from transverse Lagrangian fibrations
12. Sites and Grothendieck Topologies, Sites and Sheaves
13. Weight Certificates for Convex Multi-Objective MPC: Geometric Characterization, $\ell^1$ Construction, and $\ell^2$ Foreclosure
14. Minimal Nilpotent Orbits of type G2, F4 and E8
15. Analytic rank one propagation in Hida families
16. Moduli of super-representations of quivers

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/

1. Frobenius--Tschirnhausen ampleness
2. A Chain- and Diagram-Level Semantics for Morphological Calculus Refinement, monodromy, and bivector orbit decompositions
3. Deletion-contraction properties of graphically stable spaces
4. Semiorthogonal indecomposability for Hilbert schemes of points on integral locally planar curves
5. Echoes of phantoms on rational surfaces
6. Regulators of canonical extensions are torsion:the case of two transversally intersecting smooth divisors
7. Sharp bounds for frame counts and setwise stabilizers in classical groups
8. Bivariate quaternionic factorizations and surfaces that decompose into two circles
9. Invariant Functions on $p$-divisible Groups and the $p$-adic Corona Problem II
10. Conifold Gap Theorem for Topological Recursion
11. Smooth projective surfaces with bounded cohomology property II
12. Classification of products of Fano varieties with Picard number one
13. On the symplectic forms of Groechenig's Higgs moduli over an elliptic curve
14. K3 atoms of the cubic fourfold and the BPS structure of the Painlev\'e I determinant line
15. A note on the real Jacobian conjecture in degree 7
16. Explicit Bicanonical Models of Eight Fake Quadrics
17. Quintic surfaces with 18 cusps
18. Construction and Periodicity of Minimal Resolution Graphs of Suspension Singularities
19. Towards Koszulity for categorical structures: category of 2-nets
20. Limits of Amao multiplicities and Epsilon multiplicity

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/

1. Obstructions for codimension one multiple fibers of Lagrangian and Calabi--Yau fibrations
2. A criterion for associated bundles and the weak Beauville--Bogomolov decomposition
3. Introduction to Universal Equations and Characteristic-free Resolution
4. On the decomposition theorem for forgetful maps between moduli spaces of stable pointed curves
5. Finite quotients of sousperfectoid adic spaces need not be adic
6. Finite monodromy groups in degenerating families and the stability degree of curves
7. Moderate and rapid-decay nearby cycles for holonomic D-modules
8. Poincar\'e \`a la Makdisi
9. An affine local criterion for toric projective space bundles
10. Log Calabi-Yau compactifications of $SL(2,\mathbb{C})$ character varieties
11. $\mathbb{A}^1$-fibration in algebraic geometry and $\mathbb{A}^1$-homotopy type
12. Invisible singularities in complex algebraic geometry
13. Type C Richardson Boundaries and Newton-Okounkov Degenerations of Odd-Dimensional Projective Space
14. Kronecker Products of Symmetric Persistent Tensors
15. Toric real loci via moment polytopes
16. Polynomial Bounds on Degeneration Order from Commutativity Properties of Tensor Slices
17. Equationless quadratic Chabauty for non-split Cartan modular curves

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/

1. Disconnected multigraded Hilbert schemes on $\mathbb{P}^2\times\mathbb{P}^1$
2. The dimension threshold for Batyrev's non-negativity conjecture on stringy Hodge numbers
3. A remark on Banecki's theorem
4. Deformations, local freeness, and base change for higher Du Bois singularities
5. A note on geometry of Bridgeland Moduli spaces on Gushel-Mukai threefolds
6. Automorphisms of very general blow up
7. Pseudo-hyperbolicity of Horikawa surfaces
8. Fundamental forms and infinitesimal symmetries of projective varieties
9. Tangent discontinuity in the oper stratification of de Rham moduli spaces
10. $E_1$-Degeneration for Irregular Hodge Filtrations on Deligne--Mumford Stacks
11. A Torelli-type theorem for hyperk\"{a}hler quotients
12. Essential p-dimension and Chern numbers
13. The universal cover of the second-type locus of a cubic
14. Geometric characterization of $p$-exceptional monomial GAPN functions
15. Mori dream Jacobian elliptic surfaces of Kodaira dimension one
16. Line-filtered rank-two ACM bundles on abelian varieties of Picard rank one
17. Dynamical degrees of twisted rational maps
18. K-stability of complete intersections
19. The hyperk\"ahler period-index conjecture is false
20. On the internal homotopy theory of motivic categories
21. Foliated Minimal Models and Flops
22. The rank of the $5\times 5$ permanent tensor is sixteen
23. Abstract Six-Functor Formalisms: Extension to Ind- and Pro- Categories and Functorial Cohomological Purity
24. Varieties with prescribed fundamental group schemes
25. Grothendieck weights and K-theoretic positivity for matroids
26. Effective Results about Foliations on Smooth Projective Complete Intersection Surfaces
27. A no-go theorem for special Ulrich bundles, with a complement on primary Burniat surfaces
28. The Veronese Geometry of Dziobek Configurations and Generic Finiteness for Homogeneous Potentials
29. Brehm-Wintner-Conley Dimension, Pl\"ucker Coordinates, and Generalized Dziobek-Williams Equations for Central Configurations
30. Solving polynomial inequalities over spaces of convex sets and applications
31. The sharp volume gap for K\"ahler manifolds with positive Ricci curvature
32. Equidistribution for semiabelian varieties over number fields
33. Posets of trek polynomials for directed trees
34. The Mathieu group $M_{23}$ is a Galois group over $\mathbb{Q}$
35. Finite Gram Scalarization and Further Properties of Multiplier Submodule Sheaves
36. Nef but Non-Semi-positive Line Bundles on Hopf Manifolds
37. The Dual DG Category to Weinstein's symplectic "category" and applications to Geometric Quantization
38. A pre-triangulated category which is not triangulated