arXiv math.AGの新着論文27本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-04-21/

1. Weighted blowups and 3d Poisson desingularizations
2. Implementing p-adic numbers in Macaulay2 using its foreign function interface and FLINT
3. The conformal limit for Nakajima quiver varieties
4. On a relation of a conjecture of Goncharov to the co-Lie algebra of Bloch-Kriz mixed Tate motives
5. A Deligne-Malgrange Riemann-Hilbert correspondence for closed 1-forms
6. The Algebraic Degree of Network Games via Tropical Geometry: A Geometric Perspective on Datta's Formula
7. Hodge Atoms at Conifold Degenerations: F-Bundles, Limiting Mixed Hodge Modules, and the Rigid-Flexible Decomposition
8. The Quotient of Milnor Number by Tjurina Number of Hypersurface Singularities in Arbitrary Characteristic
9. Automorphism groups of hyperelliptic curves of $2$-rank zero
10. On the classification of toric $2$-Fano manifolds: generic $\mathbb{P}^2$-bundles
11. Superspecial generalized Howe curves of genus 4, 5, and 6 with completely decomposable Jacobians
12. On quantum functionals for higher-order tensors
13. On Coble surfaces and their automorphisms
14. On Nests and Large Components of Random Real Algebraic Curves
15. Universal compactified Jacobians: cohomological invariance and boundary combinatorics
16. Unirational algebraic groups and tame ramification
17. On the quasi-monomiality of the $\alpha$-and $\delta$-invariants
18. Pulling back Cartier structures along regular maps
19. Hochschild cohomology and lifts of endomorphisms
20. Maximal quadrics over finite fields and minimal codewords of projective Reed-Muller codes
21. Non-liftability of Families of Abelian Varieties with Small $l$-adic Local System
22. A criterion for log regularity via log Frobenius-Witt differentials
23. The Witt ring of the real sphere
24. Varieties of minimal degree in weighted projective space
25. Explicit Kodaira-Spencer maps over PEL Shimura varieties
26. Semistable Reduction Theorem for Overconvergent $F$-isocrystals over Laurent Series Fields
27. Homological Aspects of Separable Extensions of Triangulated Categories

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/2026-04-20/

1. Degenerations in tropical compactifications and tropical intersection theory of $\overline{M}_{0,n}$
2. Algebraic Geometry over Non-Algebraically Closed Fields -- A-Coherent Sheaves over a Ringed Space
3. Algebraic Invariants of Lightning Self-Attention
4. Cycle Relations and Global Gluing in Multi-Node Conifold Degenerations
5. Height 1 Group Schemes and Prismatic F-Gauges
6. Log-Conformal Projective Manifolds
7. All Quiet on the Exceptional Locus
8. Valuatively independent bases for the Fermat family of cubic curves
9. Belyi map verification using certified path tracking
10. Tensorial Constraints for Commuting Endomorphisms of the Generalized Tangent Bundle
11. Matsuki duality for loop groups

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/2026-04-17/

1. Minimal resolutions of toric substacks by line bundles
2. Failure of Weak Approximation in Adjoint Groups
3. Oriented Cohomology Rings of Some Moduli Spaces via Blowups
4. Bernstein--Sato Theory for D-modules in Positive Characteristic
5. A remark on isolated complex hypersurface singularities
6. The mixed Hodge structure on the fundamental groups of the Collino surfaces
7. Local vanishing for F-pure threefolds
8. The Very General Verra Fourfold is Irrational
9. Degenerations of generalized Kummer varieties
10. Some lower bounds for the maximal number of A-singularities in algebraic surfaces. II
11. Tangent bundle of punctual Hilbert scheme and distinguishing products of varieties
12. Algebraic Toric Quasifolds
13. Rational analytic syntomic cohomology
14. Counting Theorems for Algebraic Relations

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