プレプリどんどん: math.AG

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/2026-06-11/

1. Answer to a decomposition question on tori raised by Colliot-Th\'el\`ene and Sansuc
2. Stratification of moduli spaces of instantons on the Segre product of three lines via 't Hooft bundles
3. Non-symplectic Indices of Automorphism Groups of Smooth Cubic Fourfolds
4. Brauer groups of smooth loci in linear systems and torsors over Jacobians of plane curves
5. Degree of tensor train varieties via integral geometry
6. Algebraic Varieties and Ideal Theory in Combinatorial Click-Reaction Design
7. Kuznetsov components and transcendental motives of cubic fourfolds
8. Moduli of Supersingular Abelian Varieties in Dimensions $g\leq 5$
9. Regularity is bounded on a quasi-excellent Noetherian scheme
10. The p-adic Cauchy Theorem and Overconvergent Period Sheaves
11. On the metalinear algebraic cobordism spectrum
12. Modular variants of p-adic fundamental sequence
13. On Perfectoidizaiton of Finite Algebras over a Perfectoid Ring
14. Poisson three-folds constructed from co-Higgs bundles on Hopf surfaces

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/2026-06-10/

1. Derived Geometric Methods in Supergeometry: Transmutations and their Cohomology
2. Ind-Banach approach to Grothendieck duality in Rigid-analytic geometry
3. Large automorphism groups compared to the $p$-rank of algebraic curves in characteristic $p$
4. The crystalline cohomology of covers with a cyclic $p$-Sylow subgroup
5. Galois self-covers of projective spaces and essential dimensions
6. On superspecial hyperelliptic curves of Rosenhain forms
7. The convergent stack
8. The minimum genus of Galois covers of curves
9. Topology and Euler characteristics of tropical varieties
10. PCMI lecture notes: Motivic explorations in enumerative geometry
11. Coble type hypersurfaces and hyperk\"ahler fourfolds
12. Linearizability notions in equivariant birational geometry
13. On the rank of hypergeometric sheaves on higher dimensional tori
14. A correlated refinement of the double double ramification cycle
15. Equivariant Contact Darboux Quotients and Perversely Categorified Legendrian Correspondences
16. A generic categorical local Langlands correspondence for quasi-split reductive groups
17. Kernel theorems for rigidly-compactly generated $\infty$-categories
18. Hilbert irreducibility for algebraic points
19. Eisenstein-Kronecker classes on Hilbert moduli spaces and a new construction of Katz's $p$-adic measure
20. There are matroid toric ideals without quadratic Gr\"obner bases
21. A symmetric determinantal lower bound for diagonal power sums via polar degree

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/2026-06-09/

1. On the Vinberg Family of K3 Surfaces
2. B-model Categorical Enumerative Invariants and holomorphic anomaly equations
3. Tangential morphisms via log arithmetic geometry
4. Distance, Normals and Double Normals for Real Plane Curves with Singularrities
5. Deformation Theory and Torus-Fixed Geometry of the Nested Hilbert Scheme of Points
6. Geometry of Holomorphic One-forms on Smooth Projective Varieties
7. K\"ahler thresholds
8. Newton--Okounkov bodies of partial flag varieties via cluster algebras
9. Projective subvarieties of Bogomolov-Guan manifolds and quasi-diagonals in products of elliptic curves
10. Algebraic Hodge generic points are dense
11. Elliptic orbifold lines and integrable hierarchies
12. On the minimal model theory for generalized pairs of relative log numerical dimension zero
13. Real algebraic varieties and their intersection cohomology
14. Equivariant deformations of isolated singularities and applications
15. Seshadri constants and hyperelliptic curves on abelian varieties
16. Bertini theorems for Hilbert-Samuel multiplicity over finite fields
17. PhD thesis: Fixed points in Higgs bundle moduli spaces and the Prym--Narasimhan--Ramanan construction
18. Moduli spaces of type II twists
19. The relation type of point configurations in the projective plane
20. Effective quasianalytic Remez inequalities on tame sets
21. Linked sheaves of modules
22. Solution Module and Linear Closure
23. An elliptic approach to Reid's fantasy
24. Locally finite sets of derivations
25. The measure of maximal entropy for random skew products on compact complex surfaces
26. Semistability and asymptotics of geometric flows
27. Colocalizing subcategories on differentially graded algebras
28. Explicit and asymptotically good constructions of Algebraic Geometry codes in the sum-rank metric

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/2026-06-08/

1. On the Absolute Geometry of $\operatorname{Spec}\mathbf{Z}$
2. Compactified supermoduli space is almost never projected
3. Orbifold Uniformization of Complex Algebraic Variety by Stable Parabolic Higgs Bundle
4. Seshadri constants and Gromov widths of toric varieties associated with generalized permutohedra
5. Parabolic second-order tangent sets of semialgebraic sets and applications to polynomial optimization
6. Polyhedral models for K-theory of toric and flag varieties
7. On periods and Jacobians of Heisenberg curves
8. Structured matrix factorization length
9. Gamma conjecture II via global Gamma-I
10. Exact output statistics of Icart's encoding in the exceptional \(j=0\) case
11. The singular cohomology ring of a uniform matroid: combinatorics and Lefschetz properties
12. Ideals defining components of two-row Springer fibers

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/2026-06-05/

1. A Counterexample to Bhatt-Lurie's Cohomological Dimension Conjecture
2. Arithmetic Kashiwara Regularity and Orbit Classification for Filtered Strongly Equivariant $\mathcal{D}^{\dagger}$-Modules
3. Higher order isomonodromic deformation of Higgs bundles and a characterization of the non-abelian Noether-Lefschetz locus
4. Ulrich wildness of some decomposable threefold scrolls over $\mathbb F_a$
5. Non-projective complete log canonical surfaces
6. Coherent sheaves on subvarieties in Hopf manifolds
7. Higgs bundles on the Fargues-Fontaine curve
8. Quot spaces in tilted hearts and Hall algebra modules
9. Algebraicity of exterior Cauchy transforms of algebraic ovals: a homological formulation
10. Perverse filtration on Hilbert schemes via upward flow
11. The Euclidean algorithm, lotuses and singularities
12. Kaleidoscopes, Waves and the Prepotential
13. Hodge theory and $G_4$ fluxes in weighted projective spaces: Galois action
14. Benchmarks in Leipzig
15. Frayed Demazure weaves for Poisson-compatible cluster structures on Bott--Samelson charts
16. On the construction of K-contact non-Sasakian Smale-Barden manifolds
17. Arithmetic Wu Formulas and the Generalized Hecke Theorem
18. Decomposition Theorem for Perfectoid Rings along General Ideals

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/2026-06-04/

1. Bounds on the F-Pure Threshold of Isolated Hypersurface Singularities
2. Transversal unfoldings of derived foliations
3. A Note on Jacobians with Prescribed Factors
4. Modeling Rozansky-Witten Theory with Sheaves of Categories
5. Existence of ACM Bundles on Polarized Abelian Variety
6. Weak Brill-Noether bundles on nodal Enriques surfaces
7. The Azumification of orders
8. On the First Caustic of Elliptical Billiards
9. Mirror symmetry for the Painlev\'e character varieties
10. The leading constant in Malle's conjecture
11. Slices of the special linear algebraic cobordism spectrum

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/2026-06-03/

1. On the fibers and semi-algebraicity of ReLU neuromanifolds
2. Cohomology of complex supertori
3. Syzygies of Isotropic Kalman Varieties
4. On $\mathbb J$-strata with Parahoric Stabilizers in Affine Deligne-Lusztig Varieties
5. Bondal's conjecture in dimension five
6. Improved unirationality for GL-varieties
7. Modular inequalities and Alexander polynomials of pencil type conic-line arrangements
8. HK manifolds of Type $K3^{[a^2+1]}$ as moduli spaces of projective bundles on HK manifolds of Type $K3^{[2]}$
9. Complete Families of Curves in the Moduli Space of Genus g Curves
10. On the Schematic and Analytic Constructions of the Local Langlands Category
11. On the gap of quiver representations
12. On the geometry of non-collapsed polarized cscK surfaces
13. Weight filtrations via slopes
14. Linearisation problem under finite \'etale cover
15. The Value Function Semi-Algebraic Set in Partially Observable Markov Decision Processes
16. Towards the Relative Langlands Duality for Orthosymplectic Pairs
17. Amplituhedra and origami, II: loop level
18. The Abel--Jacobi map over the twistor-$\mathbb{P}^1$ and real local class field theory

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/2026-06-02/

1. Properties of deformed mass and phase functions
2. Moduli space of genus one curves on quartic and quintic del Pezzo threefolds
3. On the category of modules over bands: relative schemes, hyperring schemes and proto-exactness
4. Extremality of tautological classes of matroids in nef cones
5. On generalized Weierstrass semigroups in linearized function fields
6. Algebraic Magnetism: $X$-products of attractors via $\mathbb{F}_1$-geometry
7. Space of prime congruences in tropical geometry
8. A note on SG points for reduced plane curves
9. Localizing subcategories for algebraic stacks
10. Stable Degeneration, Non-degenerate Forms, and Kaledin's Conjecture
11. Verifying global identifiability of parametric linear ODE models is NP-hard
12. On the $P(t)$-adic Littlewood conjecture in odd characteristics
13. The categorical local Langlands conjecture
14. Additive Rigidity for Images of Rational Points on Abelian Varieties II: The General Case
15. Lie-Rinehart and Poisson algebras over $C^\infty$-ring
16. Constructing Discontinuous but Locally Bounded Rational Functions using \L ojasiewicz Inequalities
17. Perverse filtration on the cohomology of affine Springer fibers
18. Intrinsic Subgroups and the $\ell$-adic Galois image
19. Jordan types for pairs of commuting nilpotent matrices: A survey
20. Finding the complement of an elliptic curve inside a Jacobian

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/2026-06-01/

1. Equivariant irrationality of very general symmetric Verra fourfolds
2. Quantum cohomology and birational geometry of Verra fourfolds
3. Minimal Trivializing Isogenies of $\mathbb{G}_m$-gerbes over Abelian Varieties and Period-Index Problem
4. Cuspidal dicritical foliations and analytical invariants of cusps
5. The singular locus of a GL-variety
6. Cylinders in Fano threefolds of genus 9 and 10
7. On the geometry of Certain Non-Basic Affine Deligne-Lusztig Varieties
8. The $\mu$-Trace System
9. Shimura data and corners: cohomology
10. K-semistability and singularities of normal affine cones
11. The classification of integral endotrivial complexes

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/2026-05-29/

1. Autoequivalences of Derived Categories of Moduli Spaces of Vector Bundles
2. Higgs Grassmannians
3. Real-rootedness of the Poincar\'e polynomials of $\overline{\mathcal M}_{0,n}$: an AI-assisted proof
4. Hilbert polynomials of the first and second secant varieties
5. Autoduality of compactified Pryms for \'etale double covers of curves with planar singularities
6. Remarks on hypersurfaces in $\mathbf{P}^1\times Z$
7. Superspecial plane quintics with large automorphism groups
8. Lift-independence problem in the $P$-adic Simpson correspondence for curves
9. The multiple cover formula for $K3$ and abelian surfaces
10. A solution to the Yau-Tian-Donaldson Conjecture through Special Fujita Approximations
11. Hodge numbers of moduli of principal bundles on a curve
12. A note on Azumaya algebras and one-forms
13. Cohomology of the Moduli Stacks of Real Vector Bundles on Type I Real Algebraic Curves
14. The quartic threefold is symplectically irrational
15. Polynomial contractions of $\mathbb C^d$ and degree growth
16. Canonical extensions of $p$-adic shtukas on toroidal compactifications of Shimura varieties
17. Semi-Bousfield classes and nonmonotone perversities