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

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/2026-04-02/

1. Heisenberg vertex algebras and abelian varieties
2. Conformal blocks in algebraic geometry
3. Local multiplicities for an equivariantly enriched non-transverse B\'ezout's theorem
4. The semiregularity theorem for equivariant noncommutative varieties
5. Tropical matroid Schubert varieties and the graded M\"obius algebra
6. Truncated Grassmannians, blow-ups along Schubert varieties and collineations
7. Perverse Schober Structures for Conifold Degenerations
8. BPS Lie algebras, perverse filtrations and shuffle algebras
9. Grothendieck's Equality vs Voevodsky's Equality
10. Affine Normal Directions via Log-Determinant Geometry: Scalable Computation under Sparse Polynomial Structure
11. Solutions of Calabi-Yau Differential Operators as Truncated p-adic Series and Efficient Computation of Zeta Functions

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/2026-04-01/

1. Deformations of locally constant stability conditions and good moduli spaces
2. Hodge Structures in Sextic Fourfolds Equipped with an Involution
3. Unexpected toric Richardson varieties
4. Autoequivalences of Derived Categories of Bielliptic Surfaces
5. On intersections of fields of rational functions
6. The boundary of K-moduli of prime Fano threefolds of genus twelve
7. The local geometry of the stack of $A_r$-stable curves
8. Finiteness of Hadamard ranks
9. Nodal degeneration of chiral algebras
10. On non-Archimedean and motivic distributions defined by kernels
11. On the combinatorics of the refined 1-leg DT/PT correspondence
12. Computing Topological Transition Sets for Line-Line-Circle Trisectors in $R^3$
13. The Geometry of Polynomial Group Convolutional Neural Networks

arXiv math.AGの新着論文24本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-03-31/

1. Applications of (higher) categorical trace II: Deligne-Lusztig theory
2. Deligne's weight spectral sequence and tautological cohomology of the moduli space of curves
3. On the $\mathrm{PGL}_2$-equivariant intersection theory of $\mathrm{Gr}(2,4)$
4. Structure of the Components of the Fixed Locus of a Self-Map of the Berkovich Line
5. k-Wahl chains and cyclic quotient singularities
6. Multiplicity of codimension 1 fibers in Lagrangian fibrations
7. Galois subspaces for compact Riemann surfaces of genus 2
8. Towards a characterization of toric hyperk\"{a}hler varieties among symplectic singularities II
9. On Chasles' Quadrilateral Theorem
10. Numerical inequalities for quasi-projective surfaces
11. Motivic counting of curves on split quintic del Pezzo surfaces
12. Contraherent cosheaves of contramodules on Noetherian formal schemes
13. Log-concavity from enumerative geometry of planar curve singularities
14. A Criterion for Phantomness of dg-categories
15. Irreducible Characteristic Cycles for Orbit Closures of a Symmetric Subgroup
16. Transfer and Norm for Finite Group Schemes
17. Two comparison theorems for semiring schemes
18. On the Codimension-1 $\mathrm{PGL}_4$ Orbit Closures in $\mathrm{Gr}(2,10)$
19. Weakly special varieties, Campana stacks, and Remarks on Orbifold Mordell
20. Tempered vs generic automorphic functions and the canonical filtration on automorphic functions
21. Hyperbolic Cluster States for Fault-Tolerant Measurement-Based Quantum Computing
22. Cayley--Hamilton tuples: an interplay between algebraic varieties and joint spectra
23. The Davenport-Lewis-Schinzel problem on the reducibility of $f(X)-g(Y)$
24. Higher algebra in $t$-structured tensor triangulated $\infty$-categories

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/2026-03-30/

1. Conics Quadrics Mapping & Cones
2. Geometric classification of primes modulo a (bend) congruence
3. Tropical singular intersection homology
4. On Effective Iitaka Fibration Indices for Stable Minimal Models with Large Iitaka Volumes
5. Smooth plane curves with a unique outer Galois point and their automorphism groups
6. Lattice homology of integrally closed submodules and Artin algebras
7. Coble surfaces: projective models and automorphisms with related topics
8. Motivic local density of isolated surface singularities
9. Automorphism groups of Mori Del Pezzo fibrations over an irrational curve
10. The motivic tt-geometry of real quadrics
11. Toolkit for the algebraic geometer
12. A categorical Torelli theorem for quartic del Pezzo surfaces
13. Exactness property of Breuil-Kisin functors and Bloch-Kato Selmer groups
14. Local-global principles for the existence of Levi factors

arXiv math.AGの新着論文18本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-03-27/

1. Bounds on the Mordell-Weil rank of elliptic fibrations
2. Perfectoid pure thresholds of lifts of rational double points
3. Singularities of Foliations and Good Moduli Spaces of Algebraic Stacks
4. Common Real Secants to Pairs of Real Twisted Cubic Curves
5. The crisp topology, a refinement of the fpqc topology
6. Landau Analysis in the Grassmannian
7. Hodge rigidity of Chern classes
8. Exceptional loci in algebraic surfaces
9. A birational version of K-stability for big classes
10. Isometric Embeddings and Hyperk\"{a}hler Geometry of the Cotangent Bundle of Complex Projective Space via the Scheme of Rank-1 Projections
11. An interview with Bernard Teissier
12. Canonical sheaves at isolated canonical Gorenstein singularities
13. Igusa Stacks and the Cohomology of Shimura Varieties II
14. KdV integrability in GUE correlators
15. Quasi-factorially closed subalgebras of Laurent polynomial rings
16. Complex cells in sharply o-minimal structures
17. Introducing pixelation with applications
18. Geometric Points in Tensor Triangular Geometry

arXiv math.AGの新着論文12本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-03-26/

1. Logarithmic purity and logarithmic Nori fundamental group
2. Independence of tautological classes and cohomological stability for strata of differentials
3. Stein degree of proper morphisms
4. Conic modules, secondary fans and non-commutative resolutions
5. On the dynamical degree of surjective endomorphisms
6. Gromov-Witten invariants and membrane indices of fivefolds via the topological vertex
7. Automorphism groups of real rational quartic del Pezzo surfaces
8. Weighted Cohomology, Hodge Theory and Intersection Cohomology of Shimura varieties
9. Stable homology of strata of abelian differentials
10. Computing the Skyscraper Invariant
11. Notes on Cyclotomic Function Fields with Quadratic Modulus
12. Additive Rigidity for Images of Rational Points on Abelian Varieties

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/2026-03-25/

1. The relative movable cone conjecture for K-trivial fibrations in varieties with well-clipped movable cones
2. A note on Virasoro constriants for products
3. Shifting local exponents of Picard-Fuchs operators
4. Picard rank jumps for families of K3 surfaces in positive characteristic
5. The Weil Decoration of the Horrocks-Mumford Bundle
6. Hyper-K\"ahler varieties: Lagrangian fibrations, atomic sheaves, and categories
7. Linear spaces in Hessian loci of cubic hypersurfaces
8. Cohomological descent for obstructions to local-global principle
9. Exponential motives on the affine Grassmannian
10. Smoothness results for the schemes of special divisors on general k-gonal curves
11. Non-abelian Hodge theory for non-proper varieties and the linear Shafarevich conjecture
12. Anticyclotomic Iwasawa main conjectures for modular forms
13. Orlov's functors in Macaulay2
14. The Large Affine Hecke Category is Calabi-Yau
15. Uniform boundedness of small points on abelian varieties over function fields