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

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/2026-05-28/

1. Completed volumes and the DR-cycle
2. Odd Kn\"orrer periodicity as a double cover
3. Contact Invariants for Plane Curves in a Pencil
4. Stacky geometry and logarithmic topology of transversely affine foliations
5. Indicial polynomials and $b$-functions of $D$-modules along arbitrary varieties and their computation
6. Examples of infinitely many $(-1)$-curves with higher genus on elliptic surfaces
7. Projective K3 Surfaces with integral Zariski decompositions
8. Singularity criteria for K-stability of adjoint foliated structures
9. Holomorphic Lie algebroid connections over rationally connected varieties
10. Brauer--Manin obstruction from failure of Kodaira vanishing in positive characteristic
11. Reflective lattices and hyperkahler manifolds
12. Twisted homology jump loci, twisted Alexander polynomials, and $\Sigma$-invariants
13. On the support of admissible subcategories
14. Spinorial Fano manifolds
15. Complex abelian varieties and quantum error correction: a mathematical framework for GKP codes
16. Weighted Seshadri constants and ellipsoid embeddings
17. Inversion of the Multiplicative Matrix Compound Operator
18. Jordan types commuting with a hook partition
19. Inflection curves of rational vector fields
20. Locally recoverable codes from elliptic surfaces with availability and hierarchical locality
21. Disjunctive Sum of Squares

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/2026-05-27/

1. $\mathbf{F}$-jumping numbers can be irrational
2. Contracted divisors and Degree-Two Maps
3. Varieties admitting a holomorphic symplectic form: LLV algebras and derived equivalences
4. Refined index obstructions for Brauer classes on an abelian variety
5. Foliations, slope stability, and positivity of log canonical bundles on Deligne-Mumford stacks
6. Equivariant Maximal Cohen-Macaulay sheaves on the minimal orbit closures
7. The Calculus of Blowups on a Ruled Surface
8. Retraction of the complement of smooth projective curves to a $2$-dimensional $\Delta$-complex
9. Absolutely indecomposable quasi-parabolic $G$-bundles and the multiplicity of irreducible characters
10. Blowups, Gale duality, and moduli spaces
11. Vanishing of cohomology in infinitely ramified towers
12. A classification of triangular Riemann surfaces with $2p^2$ automorphisms
13. On modular inequalities for plane projective curves
14. On the category of semi-graded modules
15. About top-degree $L^2$- and $L^{2,\mathrm{loc}}$-Dolbeault cohomologies of complex spaces with pseudoconvex boundary
16. Vertex operator algebras, partition functions and Teichm\"{u}ller modular forms
17. Rank-two recurrence results for polynomials and questions of dynamical Mordell--Lang type
18. Ekedahl-Oort strata under natural embeddings of orthogonal and unitary Shimura varieties
19. Residual regularity in tensor triangular geometry
20. Structural properties and tilting correspondences of perfectoid towers

arXiv math.AGの新着論文31本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-05-26/

1. Geometry of Neighborhoods of Minimal Rational Curves
2. Arakelov inequality for families of pairs
3. The Stratified and the Strong Maximal Rank Conjecture in $\mathbb{P}^3$ and $\mathbb{P}^4$
4. A Nilpotence Theorem for Rational Rigid 2-Rings of Moderate Growth
5. Tropical cohomology via reductions of tropical varieties
6. Degree Bounds for Amoeba Contours
7. Tropical Degrees and Stable Intersections
8. Canonical Projectivization of Smooth Complete Toric Varieties
9. (Quasi-)affineness of perverse character varieties
10. Moduli of parabolic bundles on an elliptic curve
11. Newton-Okounkov Bodies and Jet Separation: Canonical-Free and Multipoint Generalizations
12. Affine models for Noetherian schemes
13. On the Maximality, Weierstrass Semigroups, and Automorphism Group of the Curve $Y^{q+1} = X^n(X^n + 1)$
14. Positivity in classical enumerative geometry: a case study in synchronized AI-assisted mathematics
15. Multivariate V-filtrations and the Strong Monodromy Conjecture for hyperplane arrangements
16. The strong monodromy conjecture for hyperplane arrangements
17. Uniformization as Tannakian Reconstruction
18. Lower Bounds on Essential Dimension for Congruence Covers of Mixed Shimura Varieties
19. Seshadri constants of Higgs Vector bundles
20. Jordan property of birational automorphism groups of surfaces and birational permutations
21. Classification of objects in the singularity categories of rational double points in arbitrary characteristics
22. Semiorthogonal decompositions for stacks
23. Proxy smallness meets $t$-structures
24. Movable curve classes and slope stability on Deligne-Mumford stacks
25. The limits of Schur multipliers in P\'olya conversion problems for the $q$-permanent function
26. On exotic rationally integrable planar dual billiards I. Complex geometry and type of dynamics
27. Explorations of Matroid Complexes
28. Beyond Algebraic Solutions to Stringy Spacetime
29. Inductive approach to chromatic and characteristic polynomials
30. Hilbert-90 quotient maps, torsion defects, and symmetric monodromy
31. Random Permutations from Bott-Samelson Varieties

arXiv math.AGの新着論文10本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-05-25/

1. Optimal embedding dimension in the Nash--Tognoli theorem
2. Invariants of real affine varieties based on their complexifications
3. Positivity in the context of Hodge modules and Higgs bundles on Deligne-Mumford stacks
4. Functional codes arising from rank $n$ Hermitian varieties and hypersurfaces in low dimensions
5. Tropical Cartan's second main theorem for hyperplanes in general position
6. Cartier algebras through the lens of $p$-families
7. What is the Geometric Langlands Correspondence about?
8. Multi-valued Morse homotopy for the SYZ mirror of the complex projective plane
9. Commutator-Induced Uncertainty in VAEs
10. Linear spaces of rational integrable 1-forms

arXiv math.AGの新着論文25本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-05-22/

1. Non--tautological cycles on Prym moduli spaces
2. K-stability of adjoint foliated structures
3. Algebraic and analytic Brauer groups of homogeneous spaces
4. Birational and $\mathbf{A}^1$-invariant lattices in the cohomology of the structure sheaf over non-archimedean fields
5. On a question of Mauri and Moraga
6. On defective spans of singular vector tuples beyond the boundary format
7. On Cox Rings of Calabi-Yau hypersurfaces
8. Beyond descendants: integrable observables for cohomological field theories
9. A question on klt type varieties of Han and Jiang
10. On the structure and generic non-Cartesianity of polynomials in product spaces
11. Positivity of Higgs Vector Bundles
12. Whittaker groups and hyperelliptic curves
13. Ishii's conjecture and Bridgeland stability conditions for dihedral reflection groups
14. Divisibility phenomena in motivic Bloch--Ogus theory
15. A condensed proof of the pro-\'etale and \'etale exodromy theorems
16. Symplectic and projective small covers over products of polygons
17. On the cohomological classification of vector bundles on smooth real affine surfaces and threefolds
18. Shokurov's global index conjecture for threefold foliations
19. Boundedness of total Cartier indices for rational singularities in families
20. Large Order Enumerative Geometry, Black Holes and Black Rings
21. Landau-Ginzburg models of generalised Dubrovin-Zhang form and pole collision: Dynkin-type A
22. Constructions of Rank-Metric Codes of Small Tensor Rank
23. BCM-regularity of diagonal hypersurfaces and plus-pure thresholds in mixed characteristic
24. The nearby Lagrangian conjecture for pinwheels
25. A Symbolic Homotopy Algorithm for Solving Composable Polynomial Systems

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/2026-05-21/

1. On the Hodge and Tate conjectures for moduli spaces of curves
2. Infinite transitivity and polynomial vector fields
3. On a question of Koll\'ar and Kov\'acs
4. An example of a very non-movable effective divisor
5. The pro-\'etale fundamental group of singular schemes
6. Optimal bend-and-break for foliations
7. On the Riemann-Roch formula: old and new
8. A construction of tame sheaves and tame de Rham--Witt cohomology
9. Smooth categories in a 6 functor formalism and compact generation for nuclear categories in analytic geometry
10. Serre functors and local duality for affine quotients
11. n-trivial extensions and multi Hasse-Schmidt derivations
12. Improved bounds on the number of holomorphic maps between compact Riemann surfaces
13. Mirror Symmetry of the Affine Toda Systems

arXiv math.AGの新着論文22本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-05-20/

1. Outer Type Severi-Brauer Schemes
2. Remarks on basepoint-freeness thresholds of polarized abelian surfaces
3. Weak and strong Lefschetz properties for Hartshorne-Rao modules of curves in $\mathbb P^3$
4. Deformations of morphisms of coherent sheaves
5. Bogomolov Decomposition and Compact K{\"a}hler Manifolds of Algebraic Dimension Zero
6. Higher singularities for hypersurfaces
7. A recursion for the volume of the moduli space of hyperbolic spheres
8. Random products of birational maps: Equidistribution of preimages of curves
9. Manin's conjecture for semi-integral curves and $\mathbb A^1$-connectedness
10. A lifting partition theorem for tropical tritangent classes to smooth space sextic curves
11. Enumerative Geometry on KSBA moduli spaces
12. Enriques' characterization of Abelian surfaces in positive characteristic
13. Chow and cohomology rings of moduli stacks of plane quartics
14. Zero cycles on Severi--Brauer flag varieties
15. Motivic Galois theory for one-loop Feynman integrals in momentum space
16. Toric Landau-Ginzburg models in threefold divisorial contractions
17. Planar multilinks and rational singularities
18. On optimal $p$-adic uniformization of unitary Shimura curves
19. $K$-theoretic Hall algebras and Coulomb branches
20. Tensor triangular geometry -- Notes for an Oberwolfach Seminar
21. The Hitchin and Knizhnik-Zamolodchikov connections are projectively equivalent in the genus zero case
22. Haiman's Conjecture and Springer's Representations