プレプリどんどん: math.AG

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/2026-04-16/

1. Mumford vanishing for threefolds in positive characteristic
2. Deformations of fibered Calabi--Yau varieties
3. A lower bound on the Calabi functional for a degeneration of polarized varieties
4. Relative Langlands duality and Koszul duality
5. Lagrangian correspondences for moduli spaces of Higgs bundles and holomorphic connections
6. New examples of affine Calabi-Yau 3-folds with maximal volume growth
7. Reduced Gromov-Witten invariants without ghost bubble censorship
8. Growth in noncommutative algebras and entropy in derived categories
9. A Complete Symmetry Classification of Shallow ReLU Networks

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/2026-04-15/

1. Cycles in the universal moduli stack of bundles of rank two over genus two curves
2. Affine Springer fiber and the small quantum group
3. Semiorthogonal decompositions and components of derived categories of orthogonal Grassmannian fibrations
4. KSBA moduli spaces of cubic surfaces with a marked line
5. Higher F-rational singularities
6. Categorical Torelli theorems for higher Picard rank Fano double covers
7. Cyclic AG-Codes on the Hermitian Curve
8. Supersingular elliptic surfaces and Infinitesimal Torelli
9. Exotic Hopf maps, weight shifting and applications to vector bundles
10. Key variety construction of Sarkisov links for prime $\mathbb{Q}$-Fano threefolds of codimension four associated to Type ${\rm II}_{2}$ projections
11. L-manifolds
12. Symmetric subrank and its border analogue
13. On the large genus of Hurwitz numbers
14. Logarithmic Hochschild (co)homology of logarithmic orbifolds
15. Special regular polynomial skew products
16. The K-moment problem: A detailed introduction
17. The $p$-adic monodromy theorem over algebraic-affinoid algebras
18. Strong formality below middle degree implies strong formality
19. On Higher-Order Geometric Refinements of Classical Covariance Asymptotics: An Approach via Intrinsic and Extrinsic Information Geometry

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/2026-04-14/

1. Some faithful algebraic braid twist group actions for 3-fold crepant resolutions
2. Rationality of cohomological descendent series for Quot schemes on surfaces with $p_g=0$
3. Descendant and Fourier-Mukai equivalences for simple flops
4. Notes on the decomposition theorem for blowups
5. Riemannian Geometry on Associative Varieties
6. Asymptotic Behavior of Tropical Rank Functions
7. NCCRs of cones over del Pezzo surfaces
8. Geometry of the Donaldson--Friedman Pushout
9. Curves on the product of two $K-$trivial surfaces
10. Singularities of diagonals of Laurent series for rational functions
11. A note on double Danielewski surfaces
12. Two Lemmas on the Fiber-wise Holomorphicity in Complex Algebraic Geometry
13. Branched covers of $\mathbb{P}^1$ and divisibility in class group
14. GlobalCY I: A JAX Framework for Globally Defined and Symmetry-Aware Neural K\"ahler Potentials
15. An analogue of irreducible cuspidal representations for the group $PGL(2)$ over a two-dimensional local field

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/2026-04-13/

1. Neutral representations in dimension $\leq 3$ and fields of moduli
2. Prime Fano threefolds of genus 8 in positive characteristic
3. Moduli of toric principal bundles
4. Recent progress on the Minimal Model Program for foliations
5. Picard-Fuchs Equations of Twisted Differential forms associated to Feynman Integrals
6. Surfaces with canonical map of odd degree
7. Fast Isotopy Computation for T-Curves
8. Positivity of tangent bundle of weak Del Pezzo surfaces of degree $4$
9. Billey-Type Formula for KL-Schubert Classes in Hyperbolic Cohomology
10. Differential operators on locally analytic Shimura varieties
11. Modular curves and bad reduction

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/2026-04-10/

1. A one-step counterexample to the normalized Nash blowup conjecture
2. The parity of theta characteristics is preserved by infinitesimal deformations
3. Quasi-Compactness in Infinite Dimension
4. Elementary links from prime Fano threefolds along two lines
5. Rank one foliations on toroidal varieties
6. On a descent conjecture of Wittenberg
7. Derived jet and arc spaces
8. Formulae for indices of holomorphic foliations via reduction of singularities
9. Resurgence of high-energy string amplitudes

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/2026-04-09/

1. Factorizations of Moduli Morphisms and Universal Maps to Deligne-Mumford Stacks
2. Finite-Node Perverse Schobers and Corrected Extensions for Conifold Degenerations
3. Cohomological aspects of power ideals
4. Differential graded categories in holomorphic symplectic geometry
5. A symplectic fourfold
6. A note on complex Lie Algebras isomorphic to their conjugate
7. The Deligne-Simpson problem via 2-Calabi-Yau categories
8. On computing the spherical roots for a class of spherical subgroups
9. A note on Bondal's conjecture
10. A note on b-divisors and filtrations on a local ring
11. Stable degeneration and birational geometry
12. Reconstruction of F-cohomological field theories on moduli of compact type
13. On canonicity for integral models of Shimura varieties with hyperspecial level
14. Polylab: A MATLAB Toolbox for Multivariate Polynomial Modeling
15. Boundary Cohomology of Sp6(Z): Trivial Representation
16. Random conic bundle surfaces satisfy the Hasse principle
17. Chevalley groups, commutative rings, class-preserving endomorphisms, locally inner endomorphisms, Sha-rigidity

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/2026-04-08/

1. Coherent sheaves in logarithmic geometry
2. Frobenius nonclassicality of generalized Fermat curves with respect to conics
3. On a Conjecture I for unirational algebraic groups over an imperfect field
4. Notes on acceptable bundles II
5. Geometric singularities of regular surfaces with nef anti-canonical divisors over imperfect fields
6. Mixed Hodge Modules and Canonical Perverse Extensions for Multi-Node Conifold Degenerations
7. Structure of the Anticanonical Minimal Model Program for Potentially klt Pairs
8. Direct image and pullback of Parabolic vector bundles
9. A Pardon Algebra for Zero-cycles
10. Minimal-Degree Foliations on Cominuscule Grassmannians
11. Stable maps, multiplicities, and compactified Jacobians
12. The Pandharipande-Thomas rationality conjecture for superpositive curve classes on projective complex 3-manifolds
13. Stability of syzygy bundles of Ulrich bundles
14. Hodge-to-de Rham degeneration and quasihomogeneous singularities of curves
15. The Cone Conjecture for Enriques Surfaces in any Characteristic
16. Existence of holomorphic Lie algebroid connections in higher dimensions
17. Rationality and symmetry of stable pairs generating series of Fano 3-folds
18. Relativistic Toda lattice of type B and quantum $K$-theory of type C flag variety
19. \'Etale cohomology of Stein algebras
20. Analytically generated sharply o-minimal structures

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/2026-04-07/

1. On nice $\mathbb{G}_m$-actions arising from locally nilpotent derivations with slice
2. Rank jumps for Jacobians of Hyperelliptic curves on K3 surfaces
3. A categorical and algebro-geometric theory of localization
4. An approach to the abundance conjecture for K\"ahler varieties via algebraic reduction
5. Transmission permutations and Demazure products in Hurwitz--Brill--Noether theory
6. Close connectedness of the moduli stack of reduced curves
7. Shifted symplectic rigidification
8. Ogus-Vologodsky equivalence via stacks
9. On the Tame Isotropy Group of Locally Finite Derivations of K[X,Y]
10. Perverse Extensions and Limiting Mixed Hodge Structures for Conifold Degenerations
11. Stokes structure of wild difference modules
12. Resolutions and deformations of cyclic quotient surface singularities
13. Gap theorems and achirality for automorphisms of K3 surfaces and Enriques surfaces
14. Tschirnhausen bundles of sextic covers of $\mathbb{P}^1$
15. Isotropy subgroups of homogeneous locally nilpotent derivations
16. Explainable PQC: A Layered Interpretive Framework for Post-Quantum Cryptographic Security Assumptions
17. Arithmetic volume of Shtukas and Langlands duality
18. Cancellation-free version of the quantum $K$-theoretic divisor axiom for the flag manifold in the quasi-minuscule case
19. Matroid analogues of Gal's conjecture
20. An infinite series of Gorenstein local algebras failing the affine homogeneity property
21. Unlikely intersections in families of polynomial skew products

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/2026-04-06/

1. Higher Chow cycles, cyclic cubic fourfolds and Lagrangian subvarieties
2. Algebraization of absolute perfectoidization via section rings
3. The rationality problem for multinorm one tori, II
4. Locally finite solvable Lie algebras of derivations
5. Automorphisms of the boundary complex of $\overline{\mathcal{M}}_{0, n}(\mathbb{P}^r, d)$
6. A semicontinuous relaxation of Saito's criterion and freeness as angular minimization
7. New $\mu$-Zariski pairs of surface singularities
8. On de Rham--Witt Cohomology of Classifying Stacks
9. Hilbert scheme of points on non-reduced nodal curves
10. A motivic Poisson formula for split algebraic tori with an application to motivic height zeta functions
11. Lipschitz saturation of toric singularities in any dimension
12. The Hitchin morphism for K-trivial varieties
13. Piecewise linear functions and neural network expressivity via discriminantal arrangements
14. Points of low degree on curves over function fields
15. Worldsheet Duals to One-Matrix Models
16. p-adic Hodge theory of de Rham local systems, I: Newton polygon and monodromy

arXiv math.AGの新着論文14本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-04-03/

1. Non-reduced components of global nilpotent cones
2. On the classification of products of Hilbert schemes of points over a surface
3. Galois group of exceptional curves on the generic del Pezzo surface
4. Tropical covers, tropical abelian varieties and Prym varieties
5. On Relative Ulrich Bundle and Generalized Clifford Algebra
6. The Integral Chow Ring of Smooth Non-strict Toric Stacks
7. Genus three Ceresa cycles and limit of archimedean heights
8. The integral (log) cotangent complex of extensions of valued fields
9. On the inverse Galois problem for del Pezzo surfaces of degree 1
10. Secant rank and syzygies of projections of elliptic normal curves
11. Intersections and the B\'ezout Range: Abelian Varieties
12. Pl\"ucker degrees of Quot schemes
13. The relativistic $p$-adic sunscreen conjecture
14. Non-vanishing for quartic Hecke $L$-functions and ranks of elliptic curves