arXiv math.AGの新着論文26本をご紹介します。

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

1. Weierstrass semigroups and the order bound
2. Combinatorial Nonresonance Theorems for Hyperplane Arrangement Complements
3. Defect Triangles and Intersection-Space Hodge Atom Shadows for Calabi--Yau Conifolds
4. Equivariant sheaves on toric prevarieties
5. Veronese Avoiding Hypersurfaces
6. An algorithmic reduction to canonical forms for vector bundles on anisotropic conics
7. An Orlov theorem for matrix factorizations with multiple factors
8. Fixed point locus of Moduli spaces of Sheaves on Toric DM stacks
9. Homotopy coherent Gysin functoriality
10. Tropical Degenerations of Network Games:Valuation Classes and Equilibrium Coalescence
11. Flat Cohomological Purity for Syntomic Schemes over Valuation Rings
12. From Diaz's Enriques Product to an $n$-Fold Cup-Product Bockstein Family of Integral Hodge Counterexamples
13. Projective connections on super Heisenberg coinvariants. I
14. The Algebraic Boundary of Graph Elliptopes
15. Deligne-Lusztig varieties whose canonical divisors have negativity
16. Anabelian geometry for Deligne-Mumford curves
17. Twisting Higgs Modules and Functorial Aspects of the p-adic Simpson Correspondence
18. From Finite-Node Conifold Geometry to BPS Structures III: Mediated Triangle Transport and Graded Interaction Data
19. Birational invariance of higher Amitsur groups
20. $K$-holomorphic functions with definable real part
21. Generic Irreducibility of Bloch Varieties for Periodic Graph Operators
22. Toric Schubert Varieties in Partial Flag Varieties
23. Higher-Order Flexible Configurations of Planar Parallel Manipulators Constructed by Averaging
24. Random dynamics of plane polynomial automorphisms
25. Accessibility and Gorenstein injective envelopes
26. Generalized Kontsevich model, topological recursion, and $r$-spin theory

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/2026-05-04/

1. Cylinders and the zero locus of the plinth ideal
2. Stable Wild Vafa-Witten Bundles on the Projective Plane
3. On logarithmic Poisson cohomology of a degenerate Poisson bivector in affine plane
4. The logarithmic leaf complex and foliated d-semistability
5. The GIT Boundary of Quintic Threefolds (Announcement of Results)
6. Torsion Trajectories from Local Discriminants to Global Obstructions
7. Valuative independence and metric SYZ conjecture
8. A new family of weighted double Hurwitz numbers and a new ELSV-type formula with $\Omega$-classes
9. Delta characters and crystalline cohomology of abelian schemes
10. Trace ideals of exterior powers of the module of differentials
11. The Hurwitz sum-of-squares problem depends on the base field
12. Curves on surfaces and moduli of associative algebras
13. A note on Zilber-Pink in $Y(1)^n$

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/2026-05-01/

1. Characterization of non-special divisors of small degree on Kummer extensions and LCP codes
2. Hodge theory and K-stability of some very symmetric hypersurfaces
3. Triangulation of Points Constrained to a Plane
4. Perfectoid splitting and global $+$-regularity for smooth hypersurfaces
5. Constructibility aspects of the cone conjecture
6. Noncommutative Quillen-Lichtenbaum Conjecture
7. On the normalized local volume of a non-closed point
8. Torus Equivariant Cohomology for the $\Delta$-Springer Fiber
9. Structural properties of Bia{\l}ynicki-Birula decompositions
10. Towards Bigness equivalence
11. Valuative independence for Calabi--Yau varieties
12. Failure of the semi log canonical Abundance for compact K\"{a}hler threefolds
13. Mod p Monodromy of Cyclic Covers of the Projective Line
14. Holomorphic Jet Modules and Holomorphic Connections for Noncommutative Complex Curves
15. Vertex Posets, Monotone Path Polytopes, and Chow Polynomials
16. Monodromy action of mirror stops for toric Calabi-Yau surfaces
17. A torsion-intersection proof of perfect-cuboid nonexistence on 1,072 explicit master-tuple fibers

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/2026-04-30/

1. Cut and paste invariants of moduli spaces of stable maps to toric surfaces
2. Some local and global properties of secant varieties of nonsingular projective curves
3. Generalizations and minimalistic refinements of the t-birational Section Conjecture
4. Components of strata of k-differentials and their orbit closures
5. Brill-Noether theory for totally ramified covers of the projective line
6. Stability and Fourier-Mukai transforms on an eliptic surface
7. A note on the moduli of stable sheaves on elliptic ruled surfaces
8. A criterion for parabolic vector bundles to admit a parabolic Lie algebroid connection
9. Locally rigid implies globally rigid in Kahler geometry
10. Approximating Periodic Orbits with Algebraic Curves and Related Minimal Problems
11. Multiplicative convolution and double shuffle relations
12. Compact K\"ahler contact manifolds
13. Rational curves on cubic hypersurfaces in positive characteristic
14. Galois lines for a canonical curve of genus 4, III: non-cyclic Galois lines
15. On Arithmetic Mirror Symmetry for smooth Fano fourfolds
16. Topology of complex plane curves: braid monodromy, local and global problems
17. Two-Valued Groups, Chazy Equation, Dubrovin-Frobenius Structures, and QYBE
18. Existence and maximal corank of simple $Z_p$-invariant germs
19. Deformation of pairs of $\mathbb{P}^3$ and hypersurfaces
20. Euclidean distance geometry and the orthogonal beltway problem
21. The Super Virasoro Minimal String from 3d Supergravity

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/2026-04-29/

1. Unrestrictions and concise secant varieties
2. The $\mathbf{P}^1$-motivic Gysin map
3. The Quasisymmetric Grassmannian
4. The Mukai conjecture via Cox rings for special toric ambient embeddings
5. The 3-divisibility of divisors on K3 surfaces in characteristic 3
6. On the meagerness of the set of irregular bundles on Hopf surfaces
7. A local-global correspondence for perfectoid purity
8. Confocal families of plane algebraic curves
9. Excess logarithmic residues for foliations by curves and applications
10. Approximations and Hovey triples by objects of finite homological dimensions: Applications to sheaves
11. On the Jacobian algebras of Ziegler pairs of plane arrangements
12. GIT quotient of minimal dimensional Schubert variety modulo a subtorus
13. Semistable reductions and minimalities of invariants for group scheme actions on projective schemes
14. A result on the generic Picard number of surfaces in fake weighted projective 3-spaces
15. Gorenstein Simplices and Even Binary Self-Complementary Codes
16. Elementary anabelian varieties are anabelian
17. Faithful perversities
18. Essential tori associated with links of mixed singularities
19. Geometry of Logarithmic Topological Recursion: Dilaton Equations, Free Energies and Variational Formulas
20. The coordinate ring of the universal centralizer via Demazure operators

arXiv math.AGの新着論文23本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-04-28/

1. Sobolev embedding theorem and subanalytic measures
2. Ulrich bundles with $c_2(\mathcal E)^2=0$ and connectedness of Ulrich subvarieties
3. Diffeomorphism types of simply connected $3$-dimensional Mori fibre spaces
4. Resonance of rank-two vector bundles over elliptic curves
5. Exceptional loci of F-blowups and $G$-Hilbert schemes
6. Invertibility of constructible sheaves under convolution
7. The Birational Invariance of Fundamental Group Schemes
8. Birational boundedness of stable families
9. Dimension of the motivic Galois group of a 1-motive
10. A Bornological Perspective on the Representability of Derived Moduli Stacks of Solutions to PDEs
11. On the degree of the singular subscheme of hypersurfaces in ${\mathbb P}^n$
12. Second gonality of smooth aCM curves on quartic surfaces in $\mathbb{P}^3$
13. On Maximal Symmetries of Toric Varieties over Fields of Characteristic Zero
14. Nakai conjectures for isolated homogeneous hypersurface singularities
15. Denef-Loeser zeta functions of suspensions and L\^e-Yomdin singularities
16. Hyper-Operations and Extension of Scalars from $\mathbb{F}_1$ to $\mathbb{Z}$
17. Principal Matroid Determinants
18. Formalizing $A_1^{(1)}$ Curve Neighborhoods in Lean 4
19. Hybrid Conjecture in a Mixed Shimura variety
20. The Absolute Anabelian Geometry of Virtual Curves of Arbitrary Genus
21. Enhanced CAD-Based Quantifier Elimination With Multiple Equational Constraints
22. On D-cap-Modules of Finite Length on Rigid Analytic Spaces
23. The Flat CR Twistor Model $Q^{2,2}$ and Its Algebraic Sections

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/2026-04-27/

1. Integral Perverse Obstructions for Normal Surface Singularities: Resolution Determinants and Monodromy
2. Algebraic methods in periodic singular Liouville equations
3. Notes on the deformed Hermitian-Yang-Mills equations and the large scaling limits of stability conditions
4. On the Harder-Narasimhan filtration of the direct image of the structure sheaf
5. Segre invariants of principal bundles over a curve
6. Matrix tuples with linearly dependent invariant subspaces
7. Twisted traces and quantization of moduli stacks of 3d $\mathcal{N}=4$ Chern-Simons-matter theories
8. Affine Supertrusses and Superbraces
9. Degeneration order of $3\times 3$ nilpotent matrix tuples
10. Decent actions of groups on restricted products
11. B-complex manifolds with generalized corners. I. Newlander-Nirenberg Theorems
12. Non-linear geometry of multiple zeta values

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/2026-04-24/

1. $E_6$-local systems from cubic threefolds
2. Two New Extensions of Reider's Theorem on Algebraic Surfaces
3. Birational Geometry of Quot Schemes on smooth projective curves via Stable Pairs
4. Ribbon graphs and meromorphic functions
5. A chain of $\mathbb{C}^{*}$-flips of the moduli spaces of $\mathcal{O}$-twisted rank 2 constrained framed Hitchin pairs on a smooth curve
6. A gap principle for polynomial volume growth of zero-entropy automorphisms
7. Triangulations and Maximal Cross-Ratio Degrees
8. Normal Functions, Even Theta Characteristics and the Theta Divisor
9. A theory of generalized Lam\'e curves
10. Hodge theory for combinatorial projective bundles
11. Embedded special Legendrian surfaces in $\mathbb S^5$
12. Residues of a tropical zeta function for convex domains
13. Three-periodic helices on elliptic curves and their associated regular algebras

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/2026-04-23/

1. Border subrank of higher order tensors and algebras
2. $F$-finite schemes have a dualizing complex
3. Non-Abelian p-Curvature and a Non-Abelian Katz's Formula
4. From Finite-Node Conifold Geometry to BPS Structures II: Functorial Incidence and Quiver Assembly
5. Maximally nodal sextic surfaces and linear determinantal representations
6. Representability of codimension three cycles
7. Higher rank Gelfand-Kapranov-Zelevinsky fans
8. Asymptotically Z-stable bundles over projective surfaces
9. Birational geometry of actions on del Pezzo surfaces
10. G-birationally rigid cubic threefolds
11. On G-birational rigidity of projective spaces
12. A Matsushima theorem for K-polystable polarised smooth Fano threefolds
13. Interacting Multi-Node Conifold Light Sectors
14. Tonnetz Theory, Classical Harmony, and the Combinatorial Geometry of Abstract Musical Resources
15. Minimal $a$-numbers of Artin--Schreier covers of ordinary curves
16. Epimorphisms of local cohomology modules, a general Peskine-Szpiro theorem, and an application to sheaf cohomology vanishing for thickenings
17. p-adic elliptic polylogarithms and cubic Chabauty
18. Wall-crossing of Instantons on the Blow-up
19. On the regularity index of the minimum distance function in projective nested Cartesian codes

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/2026-04-22/

1. The unirationality of $S_9^-$ and moduli spaces of pointed spin curves
2. On the Hurwitz existence problem for branched covers of the projective line
3. Distributivity, affineness, and the structure sheaf
4. Generalized algebraic Morse inequalities and Hasse-Schmidt jet differentials
5. From Finite-Node Conifold Geometry to BPS Structures I: Algebraic State Data
6. Algebraic Distance Optimization in Polyhedral Norms
7. The Lefschetz type theorem for fundamental group schemes
8. The integral Chow ring of $\mathcal{M}_{0}(\mathbb{P}^r, 2)
9. The reciprocal complement of a surface
10. The non-perturbative topological string: from resurgence to wall-crossing of DT invariants