プレプリどんどん: math.AG

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/2026-07-13/

1. Hilbert schemes of points on canonical surfaces
2. Asymptotic Cohomological Functions and Volumes on Proper Schemes
3. On the Jung-van der Kulk decomposition into Pascal finite factors
4. A note on numerical symmetry of the product-zero variety
5. Inaccessibility of the flat topology
6. Formal Abel relations for curves in characteristic $p$
7. Correspondences for hyperk\"ahler varieties with large Picard numbers
8. On The Morel Structure Conjecture
9. A diagrammatic field theory of quantum error correction
10. Factoring maps to big Cohen-Macaulay algebras through blowups
11. $S_r$ properties of generalized Cohen--Macaulay modules and rings having liftable local cohomology via Serre depth
12. Remarks on a theorem of Silverman
13. On $F$-thresholds of differential power filtrations
14. Deformations and second-order rigidity of polytopes
15. Indecomposable extensions of perverse sheaves over a closed stratum
16. Topological line arrangements with high multiplicities
17. Smooth Realizations of Line Configurations
18. Exterior power operations on relative K-theory

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/2026-07-10/

1. On the rational cohomology of moduli spaces of Prym curves
2. Algebraizability of Vector Bundles over Real Algebraic Varieties
3. A $(24_4,32_3)$-configuration on the Schur quartic with logarithmic Chern slope $14/5$
4. A technique for computing oriented cohomology rings of semisimple algebraic groups
5. Complex curves in o-minimal geometry
6. Tubular Neighbourhoods of Pfaffian Sets and Applications to Neural Networks
7. A counterexample to Purdy's inequality for hyperplane arrangements in projective three-space
8. Torsion-stabilized modular curves of level $p$
9. Waring Problem for matrices over finite local rings
10. On cube and Cremona rigidity for higher-rank lattices
11. Reduction modulo p of crystalline Galois representations via {\mu}_p-equivariance

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/2026-07-09/

1. The Algebraic Montgomery-Yang Problem
2. Divisorial Persistence and Asymptotic Homology of Analytic Pairs
3. Arithmetic of Gysin kernels
4. On the Chow ring of very general abelian varieties and a question of Pirola
5. Descendability and descent in topological weaves
6. Schanuel Integration and Euler Characteristic of Semi-algebraic Sets
7. Involution-equivariant topological recursion and mirror symmetry for the affine binary dihedral Calabi--Yau threefold
8. The Knop-Luna-Vust theory of spherical embeddings, extended to non-reductive groups
9. The hyper-Kummer construction
10. Poisson K-stability and generalized K\"ahler structures of constant scalar curvature
11. On $\eta$-periodic Formal Ternary Laws
12. Schwarz maps for modular curves
13. Global geometrization of local smooth integral models in the Hitchin fibration for $\mathrm{GL}_n$: The Bass case
14. Quantitative hyperbolicity for complex manifolds via numerical invariants
15. $p$-adic Maass--Shimura operators on $\mu$-ordinary Igusa varieties
16. A higher Gross-Zagier type formula for moduli of shtukas at deeper level
17. Reduction Types of Genus 2 Curves
18. On Two Algebraic Realizations of Schubert Calculus

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/2026-07-08/

1. Vector Bundles on Rational Topologically Contractible Affine Threefolds
2. Derived operadic centers in algebraic geometry and deformation quantization
3. Virtual Jeffrey--Kirwan localisation
4. Algebraic Geometry of Electroid Varieties
5. Homology fiber bundles of varieties, that are not topological fiber bundles
6. Wall-crossing for Hilbert schemes
7. On the Generalized Arithmetic Picard--Lefschetz Formula
8. Tangent classes of matroids and wonderful compactifications
9. Singular fibers of elliptic fibrations on normal $K3$ surfaces
10. Shifted Poisson unfoldings and quantum anomalies
11. Quotients of real algebraic sets and AS-sets equipped with a linearizable compact group action
12. Brauer groups of resolved quiver moduli via gerbes
13. Motivic quasimap wall-crossing for Grassmannians
14. Comparison of K\"{a}hler quotients of torus actions
15. Microlocal Bernstein--Sato polynomials on singular ambient varieties
16. Genus one correspondence between tropical and algebraic curves
17. A generalised cross-ratio and limits of local heights
18. Classification of equivariantly normal curves via Altmann-Hausen-S\"uss theory
19. Attractor Flow Versus Hesse Flow in Wall-Crossing Structures
20. Graded families of ideals and convex regions
21. Degenerations of flat connections on Riemann surfaces
22. Rigid ternary relations in finite-dimensional Hilbert-space Grassmannians
23. Rigidity of maps between configuration spaces
24. The Siegel-Weil formula in geometry and arithmetic
25. Commutativity of nilpotent cohomological Hall algebras of $\mathbf{A}^2$

arXiv math.AGの新着論文33本をご紹介します。

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

1. Examples of descendent generating series for Pandharipande--Thomas stable pairs on smooth projective Fano threefolds via one-dimensional wall-crossing
2. Resolve the lightcone singularity and extend the SO(3,1)-action
3. Computing the continuous symmetries of a parametrized variety
4. Permutahedra, Lusztig varieties, degenerations, and subdivisions
5. Some terminal orders on 3-folds
6. Cellular $\mathbb{A}^1$-Homology from Bruhat Boundary Matrices of Split Semisimple Flag Varieties
7. A Polynomial Recovery Criterion for Forced Commutativity in the Matrix Square-Root Fiber of a Square-Free Cubic Polynomial
8. Bigness of tangent bundles of blow-ups of ruled surfaces
9. Real radiciality and monoreal extensions
10. Isolated Hypersurface Singularities May Be Stably Degenerate
11. Enumerative geometry of skew lines in $\mathbb P^3$ with a given associated finite group
12. Family Floer SYZ mirror algorithm for the Grassmannian $Gr(2,4)$
13. A linear lower bound on the Ulrich complexity of hypersurfaces
14. K-polystable toric Fano varieties with small alpha invariants
15. On the number of Frobenius periodic vector bundles on elliptic curves
16. A slope-unstable bundle on a surface with 1-homogeneous projectivization
17. Classification of Smooth Minimal K\"ahler Fourfolds Without Effective Divisors and Surfaces
18. Compactifying real analytic functions and resulting Reeb spaces
19. Stability conditions on threefolds
20. Localization and Affine Schemes over $\mathbb{F}_1$
21. A counterexample to the odd-dimensional rank bound for abelian \texorpdfstring{$p$}{p}-group actions
22. A note on prismatic sites for p-quasisyntomic rings
23. Toric decomposition in algebraic groups
24. A universal discriminant formula for pencils of quadrics
25. A note on stability conditions on projective spaces
26. Quiver BPS Indices from Crystal Profiles
27. Likelihood Geometry of Moving Average and Autoregressive Processes
28. Category $\mathcal{O}$ for truncated shifted Yangians and the bi-infinite Bott-Samelson variety
29. Disguised complex balance via positive algebraic geometry
30. On two questions of Qi on saturated filtrations
31. Symplectically aspherical K\"ahler manifolds, scalar curvature, and the fundamental group
32. Universal affine bundles for compact complex manifolds
33. Noncommutative Cartier Formulae

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/2026-07-03/

1. Hecke operators on symplectic surfaces and $\chi$-independence
2. Interpolation for rational curves with secants
3. $\chi$-independence for K3-surfaces via $p$-adic integration
4. A note on cubical Bloch--Levine cycle complexes
5. Foliated and Mather-Jacobian discrepancies via tangential arcs
6. Motivic Hochschild homology of mod 2 motivic cohomology over algebraically closed fields
7. Petersen graph and monodromy of the 27 lines on the Clebsch surface
8. A nine-line counterexample to a conjecture on the minimal degree of Jacobian relations
9. Comb smoothing and local triviality of homogeneous spaces over a relative curve
10. On generic finiteness of pluricanonical maps of threefolds of general type
11. Positive Cones of Parabolic Grassmann Bundle over a curve
12. Recent progress on the geometric Bombieri--Lang conjecture
13. Quasi-$F$-splitting versus log canonicity
14. Components of simple and non--simple type of Hurwitz schemes
15. The Gorenstein property and Pixton's conjecture for compact type moduli
16. Bridgeland-Enriques general K3 surfaces
17. Point Singularities and Local Third Chern Classes for Rank-Two Torsion-free Sheaves on Threefolds
18. A note on polyhedral cones and toric polylogarithms
19. Existence of a Nonsmoothable Local Gorenstein Algebra with Smoothable Q(0)
20. Algorithms for hyperelliptic Mumford Curves $p$-adic Uniformization, $p$-adic integrals and $p$-adic heights

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/2026-07-02/

1. Generalized Nikulin surfaces and irreducible symplectic fourfolds
2. Automorphism groups of non-normal rigid affine surfaces are finite-dimensional
3. An equivariant fixed-level Demailly identity for Fano manifolds
4. An introduction to the intersection theory of the moduli space of curves
5. Prym-Brill-Noether Theory for General Covers
6. Sheared Witt Vectors
7. Central isogenies and conjugacy classes in reductive groups
8. Reductive monoids over general base
9. Pseudo-centralizers in affine Hecke algebras

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/2026-07-01/

1. From a Pascal construction to the Burkhardt quartic
2. Addendum: On generalized canonical bundle formula and boundedness of complements in complex analytic setting
3. Log Conifold Transitions
4. Equivalued affine springer fibers in mixed characteristic
5. Symplectic leaves of meromorphic Hitchin systems
6. On the canonical degree of a Gorenstein minimal threefold of general type
7. Holomorphic differential forms on some orthogonal modular varieties
8. On homological properties of conic-line arrangements with simple singularities
9. Quasi-$F$-singularities and singularities in birational geometry
10. On the degree of subvarieties on abelian varieties
11. Segre-Determinantal Loci and the Image Variety for Three Flatland Cameras
12. An overview of the geometry of Kottwitz-Viehmann varieties
13. Nowhere-vanishing harmonic 1-forms on real loci of K3-fibred Calabi-Yau 3-folds
14. Biholomorphism type of left-invariant complex structures on nilpotent Lie groups
15. Construction of Generically Ordinary Families of Hyperelliptic Curves

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/2026-06-30/

1. Classification of singularities of planar slowness surfaces
2. Curves on irrational ruled surfaces whose complements are of non-general type
3. Semistability of Syzygy Bundles Associated to Ulrich Bundles on Projective Varieties of Arbitrary Dimension
4. The Dolbeault geometric Langlands correspondence for type A groups beyond the elliptic locus
5. Hyperelliptic Stable Curves
6. Dimension filtrations in birational localisation
7. On computation of unramified cohomology over non-closed fields
8. Virtual cycles of 3-term complexes and the Hilbert schemes of surfaces
9. Chow rings, cohomology rings, and point counts of moduli spaces of curves
10. On positive cones of finite quotients of a normal variety
11. A Criteria of Weighted Homogeneity via Logarithmic Vector Fields
12. Criteria of isolated weighted homogeneous hypersurface singularities using Logarithmic vector fields
13. Effective results on projective normality of the first and second secant varieties
14. A note on the transcendental basepoint-free conjecture for Calabi-Yau manifolds
15. Quadratic Spaces and Orthogonal Groups over semilocal Rings
16. On Property $N_p$ of line bundles on smooth projective toric varieties
17. On the Divisorial Geometry of Volume Asymptotics of Sublevel Sets
18. Virtual K-theoretic invariants of the nested Hilbert scheme on $\mathbb{C}^2$
19. A One-Variable Frame Construction For Irrational Components of Hilbert Schemes of Points
20. Pointed Evaluation Fibers of Rational Curves on del Pezzo Manifolds
21. Lagrangian correspondences of nonabelian Hodge type and shifted twistor structures
22. To be or not to be local
23. Point counts of abelian varieties over finite fields determining their zeta function
24. On Dense Orbit Transversality for Endomorphisms of Abelian Varieties
25. Transcendental Epsilon Multiplicity via Divisor Volumes
26. Degree growth, orbit graphs, and functoriality for birational dynamical systems
27. The Categorical Local Langlands Correspondence and Anabelomorphy
28. Quantum Betti geometric Langlands functor
29. Siu's analyticity theorem for positive pluriharmonic currents
30. Stable complete coordinates for multisets of points via basic $r$-symmetric tropical polynomials

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/2026-06-29/

1. Any-dimensional Positivstellens\"atze for symmetric functions
2. The derived moduli of perverse sheaves
3. Varieties with Ulrich exterior powers of the tangent bundle
4. Curves in High Degree Plane Pencils with Bounded Degree Components
5. On the maximal variation problem and Lefschetz pencils
6. General position on Severi--Brauer surfaces
7. Enumerating matrices with prescribed entries in an adjoint orbit
8. Abelian Orbifolds for Brane Brick Models
9. The quantum connection and its mod p reduction