プレプリどんどん: math.AG

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

arXiv math.AGの新着論文35本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-03-24/

1. McMullen's Curve, the Weil Locus, and the Hodge Conjecture for Abelian Sixfolds
2. On the distribution of mixed Hodge loci
3. Counting points on braid varieties and the Deligne--Simpson problem
4. Low degree points on singular plane curves
5. Lagrangian classes in K-theory
6. Periods of Limiting Mixed Hodge Structures of Projective Hypersurfaces
7. An explicit expression of the Richelot isogeny through Kleinian hyperellyptic functions
8. Semiprojectivity and very stability in moduli of symplectic and orthogonal parabolic Higgs bundles
9. Motivic Cohomology and K-groups of varieties over higher local fields
10. Solid Amoebas of Maximally Sparse Polynomials
11. A canonicity criterion for toric varieties and the classification of canonical 4-simplices
12. The intrinsic approach to moduli theory
13. A perturbative algorithm for flat F-manifolds associated with Landau-Ginzburg models
14. On the discriminant locus of a generic projection
15. On superspecial hyperelliptic curves of genus 5 whose automorphism groups contain $(\mathbb{Z}/2\mathbb{Z})^3$
16. Polyptych lattices and marked chain-order polytopes
17. Neutral representations of finite diagonalizable group schemes and fields of moduli
18. Constructions for rational multiple planes
19. A Matrix Rank Formula for Vector Bundles of Vertex Operator Algebra Coinvariants and Conformal Blocks
20. Geometric helices on del Pezzo surfaces from tilting
21. The exceptional locus of a motivic local system
22. Weil restriction, normal bundles and motivic Thom spaces
23. Generalized Eigenvectors and Rayleigh bounds for tropical algebraic eigenvalues
24. Neutral-Fermion constructions of factorial $gp$-and $gq$-Functions
25. Deligne--Lusztig varieties, toric orbifolds, and the $q$-Klyachko algebra
26. An analytic approach to $P$-adic diffeomorphism group and Teichm\"{u}ller theory
27. Generalizing Saito's Criterion for Nonfree Arrangements
28. Buchstaber, Ochanine, Krichever, and Witten genera
29. Rigidity of Lyapunov exponents for polynomials
30. SDP Feasibility Problems and sos Representation Ranks for OT-FKM Type Isoparametric Polynomials
31. Moment inequalities for Chow polynomials of matroids and bounds on Chern numbers
32. Critical CoHAs, vertex coalgebras and Deformed Drinfeld coproducts
33. Abelian Galois cohomology of quasi-connected reductive groups
34. Kodaira-Iitaka dimension and multiplicity: an analytic perspective
35. Cyclotomic generating functions, empty weighted complete intersections and positivity

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/2026-03-23/

1. Formal splitting and stack-theoretic normal crossings desingularization
2. Weierstrass gap sequences and their weights on tropical curves
3. Semisimple derivations, rational slice and kernels over affine domains
4. A Dimension Bound for Symmetrizer Groups of Projective Hypersurfaces
5. The log homotopy exact sequence
6. Existence of minimal del Pezzo surfaces of degree 1 with conic bundles over finite fields
7. Integrable Systems for Generalized Toric Polygons and Higgsed 5d N=1 Theories
8. Automorphisms of finite fields from isogeny cycles
9. Computation and sampling for Schubert specializations

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/2026-03-20/

1. The Geometry of Polycons and a Counterexample to Wachspress' Conjecture
2. The Legend of Masaki Kashiwara and Algebraic Analysis
3. Decorated Local Systems and Character Varieties
4. The Simplicity of the Hodge Bundle
5. The Euler Stratification for $\mathbb{P}^1 \times \mathbb{P}^1 \times \mathbb{P}^n$
6. $R$-equivalence on Cubic Surfaces I: Existing Cases with Non-Trivial Universal Equivalence
7. Castelnuovo-Mumford regularity of toric varieties with at most one singular point
8. Close fields, affine Springer fibers and fundamental lemmas
9. Bass numbers of local cohomology modules at the first and last non-vanishing levels
10. Characterizing almost Cohen-Macaulay $3$-generated ideals of codimension $2$ in terms of prescribed shift
11. Gamma positivity, PL homeomorphism types, and orthogonal polynomials