プレプリどんどん: math.AG

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/2026-07-27/

1. A topological Chern character for matrix factorizations
2. Rank-one convexity, polyconvexity, and extremality for three-dimensional elasticity tensors in various symmetry classes
3. Critical loci of self-maps of projective space
4. Moduli of atoms of complex projective varieties
5. Base-change of locally stable families in positive characteristic
6. Incidence equivalence, a survey
7. Ulrich sheaves and determinantal representations for higher secant varieties of curves
8. Generalizations of the Scorza correspondence
9. A five-variable counterexample to the Hessian conjecture, and the low-dimensional status of the Jacobian and Hessian conjectures

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/2026-07-24/

1. Group Chunks in Model Theory and Algebraic Geometry
2. Prescribed extension spectra of mock automorphisms over finite fields
3. Absolute minimum of a height associated to a semipositive adelic line bundle
4. An Explicit Characteristic-$2$ Counterexample to the Separable Jacobian Conjecture
5. Generic ordinarity for abelian coverings of the projective line
6. Quantum index, Arnold-Rokhlin surfaces, and real enumerative geometry
7. New conjectures on multiplicities of tensor eigenvalues
8. The restricted Hitchin map of wobbly vector bundles
9. Generic degrees of real polynomial Keller maps with non-dense image
10. On mappings with Jacobian one
11. The Independence-Preserving Property and Planar Web Geometry
12. TwistedMerge: Certified Higher-Order Diagnostics and Abstention for Model Merging
13. New excluded minors for the class $\mathcal{M}_3$ of regular matroids
14. Lower bounds on the strength of the determinant
15. Mixed Hodge formality

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/2026-07-23/

1. On arrangements of plane real quartics with respect to three lines
2. Maximum Likelihood Estimation on the Grassmannian of Lines
3. Derived representation schemes with arbitrary coefficients and associative smoothness
4. Numerically trivial automorphisms of elliptic surfaces III: the non-algebraic case
5. N{\'e}ron models of G\_m
6. Lipschitz embeddings of algebraic curves
7. Connected components of real loci in moduli spaces of vector and Higgs bundles over a Klein surface
8. Graded Keller maps and the Jacobian Conjecture
9. On the global and local geometry of quasi-$F$-split varieties with trivial canonical bundle
10. Effective characterization of semi-abelian varieties
11. Automorphism groups of curves with simple Jacobians
12. The Pila-Zannier strategy for Drinfeld modules and Drinfeld modular curves
13. A Counterexample to the Global Injectivity of a Jacobian Mapping in \mathbb{C}^5 and Its Analytical Roots
14. Combinatorial geometry of the 2D Toda lattice and Davey Stewartson equation
15. Extremality of principal quiver Grassmannians

arXiv math.AGの新着論文30本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-07-22/

1. Picard groups and composition nilpotence for finite cellular isotropic spectra
2. Hyperk\"ahler sixfolds, abelian fourfolds of Weil type and a Hodge class
3. Obstructions to embedding singular curves in toric varieties
4. Foliations with small singular set in arbitrary characteristic
5. Non-liftable varieties via etale cohomology rings
6. Homological rigidity and Schur rigidity of Schubert varieties in rational homogeneous spaces
7. On the Toda hierarchy for the stationary theory of the tube with negative contact orders
8. Semipositivity of the orbifold second Chern class in Fujiki's class
9. The modulo eight behavior of common factors of two hypergeometric polynomials arising from a genus three heperelliptic family
10. On degenerate geometric rank
11. Zero-cycles on surfaces dominated by products of hyperelliptic curves
12. Topology and geometry of moduli spaces of semistable sheaves on bielliptic surfaces
13. On the Fields of Moduli of Curves of Genus Six
14. Topology of higher Albanese maps and aspherical varieties with nilpotent fundamental group
15. A counter-example to Batyrev's conjecture on the non-negativity of stringy Hodge numbers
16. Basic properties of kappa classes
17. Isotrivial smooth curves on surfaces
18. Compactification of the fifth Painlev\'e foliation
19. Stacky Framework for the Classification of Singular Fibers in Fibered Surfaces
20. Degenerations of the complex projective plane with only rational singularities
21. Pure D-brane Black Holes: BPS Counting and non-BPS Vacua
22. Refined Vafa-Witten invariants for toric surfaces from supersymmetric localization in 5D gauge theory
23. Finite quotients of full surface braid groups and complex surfaces of general type: cyclic, dihedral, and extra-special quotients
24. The complex projective plane as a ball quotient
25. Polynomiality of Stretched Schubert Structure Constants and Key Coefficients
26. The spaces of K\"ahler and holomorphically tamed symplectic forms on closed 4-manifolds
27. Metric entropy of the space of holomorphic functions
28. A sublinear bound for the regularity of subspace arrangements
29. Diffeological non-Abelian Hodge theory: relative harmonic metrics and deformation theory
30. Topology of the orbit space of a maximal torus action on $\operatorname{Gr}(2,\mathbb{C}^{5})$

arXiv math.AGの新着論文32本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-07-21/

1. $0$-cycles and sheaves on abelian surfaces
2. Fields of Moduli of Smooth Cubic Surfaces
3. Finite Group Reduction of the DR/DZ Hierarchies
4. Non-general type surfaces in P4, an update
5. Explicit LCP of MDS Codes and LCD Codes on Hyperelliptic Curves via Mumford Representation
6. Characteristic cycles of constructible sheaves and microlocalization
7. Expressivity of Shallow Neural Networks Over Finite Fields
8. Regions represented as foliated forms and natural smooth maps onto them
9. Torsors over the universal Jacobian over $\mathcal{M}_g$
10. The Miracle of Flatness in Algebraic Geometry
11. Coincident Poisson structures on principal-bundle moduli spaces
12. The Springer Geometry of Specht Polynomials and Schubert cycle positivity for two row Springer fiber components
13. Algebraic Knots and their Universal K^MW_2-Coverings
14. $\Theta$-reductivity and $S$-completeness for adjoint Fano foliated structures
15. Bia{\l}ynicki-Birula Decompositions of Nakajima Quiver Varieties, Quiver Chains and Star-Shaped Quivers
16. Degenerating Discriminants
17. Resolution of the Prym map in genus 4
18. Integral Weyl Invariants in Chow Characteristic Images of Spin and Special Clifford Groups
19. The non-Lefschetz locus of conics
20. Equivariant Schubert Calculus for Inverse Grassmannian Permutations
21. Chow-Witt Theory in the Arrowtic Paradigm
22. $m$-Positive Stability of Holomorphic Vector Bundles and Moduli Spaces
23. Nilpotent quiver varieties with multiplicities and symmetrisable crystals
24. Betti Tables and the Licci Property
25. Galois-invariant N\'eron--Severi ranks of Fermat surfaces over number fields: a Galois module, closed forms, a threshold, and exact tables
26. Quadratic residue patterns of length 4 and 5
27. The deformed Vortex equations and equivariant stability conditions
28. Universal Correlators on Exponentially Ramified Spectral Curves
29. On unirational varieties with poset parameterizations
30. Homological Detection by Perfectoid Algebras
31. Periodic phenomena in stable motivic homotopy theory
32. Small Counterexamples to the Gaussian Moments Conjecture

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/2026-07-20/

1. Contour Degree of Amoebas of Complete Intersections
2. Sparse Bounds for Amoeba Contours
3. Order and Pascal depth of Pascal finite automorphisms of the plane
4. Tropicalizing polynomial strata
5. Explicit Formulas for $\mu$-Bases of Planar Rational Quartic Curves
6. Curves with a large automorphism group admitting a cyclic subgroup of index $2$
7. What are the odds that a conic bundle over a finite field is rational?
8. Moduli of conic surfaces over the line
9. Degenerations of multisingularities and Artin algebras
10. On complete intersection projective closures of monomial curves
11. Finiteness of the Tate-Shafarevich group over function fields for groups of multiplicative type
12. Lusztig's special pieces conjecture
13. Indecomposable translates and degree-$d$ points
14. Defining reduction types of curves via minimal regular and minimal normal crossings models

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/2026-07-17/

1. A Proof of Coherent Duality via Techniques from Condensed Mathematics
2. Sheaves for spacetimes: a survey
3. Koszul Duality for Coherent Sheaves
4. Contou-Carr\`ere symbol, Deligne pairing and quintets
5. Topological reconstruction theorems over uncountable algebraically closed fields
6. Formality for rigid-analytic spaces satisfying the weight-monodromy conjecture
7. Connections on Associative Varieties
8. Tautological systems and local cohomology
9. A Bogomolov type vanishing theorem
10. Substitution and quotient of the isotropy group action
11. Zeros of one-forms and the topology of algebraic maps
12. On the geometry of Coulomb branches
13. Moduli spaces of snc klt KSBA stable pairs are naturally of log general type
14. Rigidity of multisections to the universal cubic plane curve
15. In Memoriam: Professor Dr. Winfried Bruns (1946--2026)
16. Blow-up Parameter Landscapes for Polynomial Dynamical Systems
17. The Stable Adjunction in $\mathbb{A}^1$-Homotopy Theory
18. Equidistribution and the torsor method
19. Geometric Criteria for Morrey Admissibility via the Real Log-Canonical Threshold
20. Asymptotic Brill-Noether Existence at the Half-Canonical Degree: Energy Pairing, Cheeger Inequality and Covering Radii

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/2026-07-16/

1. Composition of Sarkisov links between del Pezzo surfaces
2. Euclidean Distance Degrees in Macaulay2
3. On the $K$-theoretic logarithmic double ramification class
4. A complete curve of genus 105 in the moduli space of curves of genus 3
5. Non-cancellative varieties, maximal tori, and the Makar-Limanov invariant
6. On Milnor and Tjurina numbers of Pairs of Holomorphic Functions Germs
7. On the Feyzbakhsh-Thomas programme for Fano $3$-folds
8. Open surfaces with a triangle at infinity
9. Smashing, Balmer, Zariski spectra: an ideal approach
10. Nonlinear Hodge correspondence for morphisms
11. Matroid correspondence
12. What are symmetric monoidal categories?

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/2026-07-15/

1. Obstructions to the existence of good moduli spaces of $A_r$-stable curves
2. LipschitzSaturation: A Macaulay2 Package for Computing Lipschitz Saturations of Modules and Toric Varieties
3. Automorphism groups of rigid complete intersections
4. Topology of Galois conjugate character varieties
5. Recursive Formula for the Equations of Hessenberg Varieties
6. Meromorphic Group Actions and the Support Theorem for Lagrangian Fibrations
7. Euler Characteristics of Generic Quiver Grassmannians: Semi-Invariants and Localization
8. On the invariance of irregular Hodge numbers under crepant birational equivalences
9. Isomorphism classes of multi Danielewski varieties
10. Negative $K$-theory and Hodge theory
11. Infinitesimal invariants of genus 4 curves and the Griffiths-Pirola cycle
12. Metrics on triangulated categories and their enhancements
13. Fano 4-fold quiver moduli from subspace quivers
14. Obstructions to Deformation Quantization of Bundles
15. Computing Cox rings via the cone conjecture
16. Exchange theorems and coherent duality in six functors
17. The Infinitesimal Structure of Quantum Information
18. Genus and Gonality of Small Curves, Dynamical Uniform Boundedness, and Bifurcation
19. Euler systems and the symmetric square of a Hida family

arXiv math.AGの新着論文30本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-07-14/

1. $p$-elementary non-cyclic subgroups of the Cremona group of the plane
2. Non-trivial Odd Dimensional Equivariant Cohomology of Torus Orbits of Generic Points in $gr(2,k)$
3. Duals of log abelian varieties
4. Automorphisms of a $(24_4, 32_3)$-configuration on the Schur quartic
5. Reconstruction of Formal Schemes from Categories of Nuclear Modules
6. Nonrationality Degree of Toric Quasifolds
7. Holomorphic symplectic geometry of elliptic surfaces
8. Stability of syzygy bundles on certain Picard rank one varieties
9. M-modules
10. Based maps to Lagrangian Grassmannians, Quivers, and Bott Periodicity
11. Limiting Hodge Structures for Cubic Hypersurfaces of Secant Type
12. 4x4 Matrix Representation of Hybrid Numbers, Gram Matrix and Golden Ratio
13. Collinearly complete sets and finite subgroups from configurations of skew $n$-planes in $\mathbb P^{2n+1}_K$
14. The flexibility of $m$-suspensions constructed via a local slice
15. On Orbifold Quantum Cohomology of Foldings of $ADE$ Resolutions
16. N\'eron--Severi groups of proper schemes over finite fields
17. An obstruction to lifting schemes to spectral schemes
18. Chow classes of orbit closures of skew-symmetric matrix pencils
19. Affine monodromy and exact value distributions over finite fields
20. A Guess and Determine Attack on the Elliptic Curve Discrete Logarithm Problem
21. Anomaly cancellation for two $U(1)$ factors
22. Electrical networks, Grassmannians, and cluster algebras
23. Orbit Transversality for Abelian Varieties
24. A Second Main Theorem for Non-Constant Holomorphic Curves Intersecting a Fermat-Type Curve
25. Topology of the links of cDV singularities of types $cA_n$ for $n>0$ and $cD_n$ for $n>4$
26. Geometrically vertex decomposable star configurations
27. Greenberg's $\mu=0$ conjecture for lisse sheaves over global function fields
28. Integral closure for (additively idempotent) semirings
29. Extending valuations of local domains to complete local domains without changing the value group
30. Common extensions of valuations to rational function fields