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/2026-06-26/

1. Inducing t-structures on semiorthogonal components
2. $e$-polynomials of character varieties
3. Generalized Zariski cancellation for Brieskorn--Pham varieties
4. On a counterexample to a conjecture of J. Harris for octic surfaces
5. On a conjecture by Koll\'ar and Sacc\`a
6. Automorphism Groups of Uniform Dessins d'Enfants of Genus at Least Two
7. Curves contained in a quartic determinantal surface containing a line
8. Hall Geometry and Auslander-Reiten Quiver
9. Motive Theory Hidden in Karaji-Pascal Triangle
10. Polar Degrees of Matroids
11. Generating Special Triangulations with Transformers
12. Groups of type $\mathrm{E}_8$ over rings via TKK-algebras and their extremal elements
13. Rank-Two Drinfeld Module over Elliptic Curves
14. The Second Vanishing Theorem in Ramified Mixed Characteristic
15. Adelic Line Bundles, Arithmetic Positivity and Diophantine Geometry
16. Quantitativity in the Mordell Conjecture
17. Linear Spaces over Perfect Idylls
18. On the deformation theory of chiral quantizations

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/2026-06-25/

1. Weddle schemes
2. On Automorphism Groups of (1,2)-Surfaces
3. Extremal Effective Cycles and Nef Line Bundles on \(\overline{\rm{M}}_{g,n}\)
4. Symmetric tensor decomposition on rational varieties
5. Extensions of maximal symplectic groups acting on the superspecial K3 surface in characteristic $p$
6. Variation on a theme of Beauville-Voisin
7. Rational (quasi-)elliptic surfaces with global vector fields in odd characteristic
8. Polynomiality of the Generalized Verschiebung Degree
9. Nonsimilar half-neighbors over fields of characteristic 2
10. Point Singularities and Bubbling in Degenerations of Rank-Two Bundles on Threefolds
11. Sums of squares in polynomial time
12. Hyperelliptic Atkin-Lehner quotients of Shimura curves
13. Total positivity and symmetric spaces
14. Profinite Borel completeness and smooth Artin motives
15. Potential semistability of Finite height Galois representations: Relative case

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/2026-06-24/

1. Chiralization of Quiver Varieties
2. Polynomials of minimal border rank
3. \'Etale Fundamental Groups -- a geometric and topological approach to fundamental groups in algebraic geometry
4. Essential dimensions of polarized endomorphisms of certain algebraic surfaces
5. On the Sharpness of Khovanskii's Bezout-type Bound for Pfaffian Functions
6. A characterization of virtually free actions via arc spaces and its application to the lower semi-continuity conjecture
7. Amitsur groups of primitive Fano threefolds
8. A Littlewood-Richardson Rule for Forest Polynomials via the Schubert Bialgebra
9. Non-asphericity of strata of genus-one differentials and stability spaces
10. Brane quantization of $A_n$-resolutions
11. Elements in $K_4$ and regulator maps of Fermat curves
12. Irreducible noncommutative quadrics
13. Vertex Superalgebras for Hypertoric Varieties and 3d Abelian Gauge Theories

arXiv math.AGの新着論文38本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-06-23/

1. The Parity of Invariant Characteristics
2. Moduli Spaces of Degree Two Rational Maps with Portraits Up to Six Points
3. Multigraded Regularity of the Complete Flag Variety
4. Mutation of Fano Simplices and Markov type equations
5. Self-inverse linear subspaces of matrices
6. A cellular (co)homology computation for $\overline{M_{0,n}}$
7. Zombie Compositions in Assembly Algebras and an Upper Bound on the Size of Chemical Space
8. Hilbert's 16th problem for arrangements of curves on a surface
9. Weighted projective degenerations of $\mathbb{P}^{n}$
10. Elementary solutions of ordinary tropical differential equations, and vanishing orders of solutions of algebraic differential equations
11. A strong version of the Beauville-Voisin conjecture for certain hyper-K\"ahler fourfolds
12. The Mori cone of certain Hassett spaces
13. The Hermitian Distance degree of Tensor spaces
14. An organizing principle in the study of the Jacobian Conjecture
15. Computing framed motives
16. Bloch's conjecture for equivalences between twisted abelian surfaces and applications
17. Smoothability of the one-step loci with Hilbert functions $(1,5,6)$ and $(1,5,7)$
18. From Logarithmic Limit Sets to Algebraicity
19. Jacobian algebras and variation of hyperplane sections
20. Ogus's conjecture on F-isocrystals
21. Tangent classes for matroid building sets
22. Generalized Ueda Obstruction Classes and Applications to Non-semi-positivity of Line Bundles
23. Birational Algebraic Topology
24. Bianchi groups and automorphisms of rank-four $K3$ surfaces
25. Frobenius type positivity of Hodge bundles and applications
26. A conjecture on the action of Hecke operators
27. Hyperplane anti-Bertini embeddings over finite fields
28. On moduli spaces of vector bundles on $K3^{[n]}$-type IHS manifolds
29. Connections, metrics and Higgs fields on complex fiber bundles
30. On Bounds of Extension Degrees for Similarity of Integral Matrices over Number Fields
31. Shifted Symplectic Fibrations and Derived Thurston Theorem
32. Lie subalgebras of vector fields on curves
33. Isogeny graphs associated to Moret-Bailly families of supersingular abelian surfaces
34. Geometry of $\mathbf{F}_1$ and Cuntz-Krieger algebras
35. Sums of squares on curves and surfaces
36. Smooth Solutions to Systems of Linear Inequalities on $\mathbb{R}$
37. Positive holomorphic sectional curvature on rational surfaces
38. On Two Approaches to Cluster Structures on Partial Flag Varieties

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/2026-06-19/

1. Quasi-affine schemes and singly compactly generated $t$-structures
2. Calculating Archimedean Height Pairing via generalized cross-ratio
3. A simple proof for Hochster's Theorem
4. Spectral and Logarithmic Atiyah Classes for Higgs Bundles
5. Wild automorphisms and compound isotriviality
6. Anti-Zariski pairs
7. Symplectic duality for the constant term of the geometric Eisenstein series
8. Plane curve singularities and Fitting ideals
9. On Ziegler pairs of line arrangements: from non-existence to abundance
10. Eigenvector Varieties
11. \'Etale and Quasicoherent Cohomological Dimensions of Subspace Arrangements

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/2026-06-18/

1. Constant cycle surfaces on Fano varieties of cubic fourfolds
2. Irreducible symplectic varieties via K3-del Pezzo double covers
3. A Pascal-type construction of the Segre cubic and the Cremona--Richmond configuration
4. Algebraic Networks and Architectural Degenerations
5. Coincidence Correspondences and Nonlinear Root Geometry
6. Isomonodromic deformations, $\mathbb C^*$-actions, and characterization of non-abelian Noether-Lefschetz loci on Dolbeault moduli spaces
7. A Symmetry Method for Key Vanishing Lemmas and Optimal $2$-Jet Thresholds for Hyperbolicity
8. Non-archimedean Green currents for the zero-locus of a regular section
9. Holomorphic tensors on products of algebraic cones
10. The Moduli Space of Twisted Exact Differential Forms on Curves in Positive Characteristic
11. Factorizations of linearized polynomials and extremal curves in odd characteristic
12. Closing two recent conjectures related to the Jacobian ideal of hyperplane arrangements
13. Symmetric and Isotypic Hilbert Series for Symmetric Ideals
14. Brave new categorical spectral positive Schubert geometry and the categorical Dual Amplituhedron
15. On the bisections of a local Lie grpoupod

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/2026-06-17/

1. On the analytic equivalence of branches in (n+1)-space
2. Schubert varieties for the super affine Grassmannian of $GL_{n|m}$
3. Extension of Ulrich bundles
4. On the image of Hitchin morphism for some classical groups on algebraic suefaces
5. Sphericality of spaces of conics on homogeneous spaces
6. Naive atoms of blowups: examples
7. A remark on rational quartic curves in prime Fano threefolds of degree $22$
8. Weak Hodge Theorem on Piecewise-Algebraic Spaces
9. Exceptional collections for canonical stacks of log del Pezzo surfaces with $\frac13(1,1)$ singularities
10. Principal symmetric ideals in the coordinate rings of curves
11. Spectral Intertwining Operators
12. Single-valued polylogarithms for higher genera

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/2026-06-16/

1. Cohomology of Flag Superschemes and Syzygies of Compositional Varieties
2. Dichotomy for the p-primary Brauer-Manin obstruction in characteristic p
3. The Chow ring of $\mathcal{S}_5^-$ is tautological
4. A coproduct obstruction for derived unramified cohomology
5. Non-Archimedean balanced metrics and their application to totally degenerate abelian varieties
6. Inner Lipschitz Geometry of Complex Surface Germs with Non-Isolated Singularities: A Complete Classification
7. Blow-Up Constructions and Applications to Segre Classes and Multidegree Formulas
8. Torsors of Generalized del Pezzo Tori and Brauer Groups
9. The integral closedness of lattice simplices with large lattice length
10. Euler Stratifications of Second Hypersimplices via Delta-matroids
11. Higher cotangent cohomology for Stanley-Reisner rings
12. The Grothendieck-Katz Conjecture for privileged local systems
13. Very stable parabolic $G$-Higgs bundles and affine flag varieties
14. Bounds for Genus Zero Gromov-Witten Invariants
15. When is Frobenius epic?
16. Quadratic one-forms on logarithmic Higgs moduli
17. Noncommutative resolutions of affine Schubert varieties in type A and canonical bases
18. Residue ideals of hyperplane arrangements
19. $q$-Deformed Topological Recursion, Weight Vectors and Algebraic Structures
20. Determinant majorization for hyperbolic polynomials on Euclidean Jordan algebras
21. A diffeological perspective on non-Abelian Hodge theory

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/2026-06-15/

1. Strictly Semistable Quasimaps on the Wall
2. Semistable reduction of smooth quartics
3. AKSZ Construction for Shifted Contact Structures
4. Explicit local stable resolution of cusps
5. Nonsimplicial toric Nullstellensatz and stacky GKZ theory
6. Explicit Homology Representation for Finite Groups Acting on Riemann Surfaces
7. Adelic line bundles over a N\'eron model
8. Lang-Vojta conjecture over function fields for very general log projective spaces
9. Artin-Schreier Root Stacks and lifts of group actions
10. Automorphism groups of non-normal affine toric surfaces
11. Fano manifolds with complete intersection type VMRT
12. Invariant polynomials and Mukai's models of moduli spaces of curves and K3 surfaces
13. Duality for t- modules: The Difficult Cases
14. A note on o-minimal tropicalizations
15. Sorries Are Not the Hard Part: An Expert-Review Case Study of a Semi-Autonomous Formalization
16. Nodal degeneration of chiral algebras II: Local structure and chiral Zhu algebras
17. Higher syzygy bundles and the Eisenbud-Huneke-Ulrich conjecture
18. Quasi-Classical Braverman--Kazhdan Intertwiners via Quiver 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/2026-06-12/

1. Functorial stratifications of singularities in characteristic 0
2. Algebraic cobordism rings of wonderful varieties and matroids
3. Fence Complexes and Toric Degenerations of Positroid Varieties
4. Valuative criteria for adic spaces
5. Families of smooth Fano fourfolds of Picard rank 1 without Bott vanishing
6. Scaffolds for Higher Tropical Grassmannians: Foundations
7. Noncrossing Duality and the Geometry of Positive Tropical Linear Spaces
8. Splitting of Polynomial Families via Galois Theory
9. Existence of pseudo-holomorphic disks via non-archimedean disk potentials
10. A $q$-analogue of the rational normal curve and linearized Reed-Solomon codes