プレプリどんどん: math.AG

arXiv math.AGの新着論文64本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-10-06/

1. Doubly isolated Batyrev mirror pairs and non-smoothable Calabi-Yau threefolds
2. Flasque resolutions of linear reductive group schemes
3. Stability of the Cotangent Bundle on Surfaces with Ample Canonical Class
4. From wall structures to closed mirror symmetry. The case of $K_{\mathbb{P}^2}$: Renormalized periods over the positive real locus, closed Gromov-Witten invariants from wall functions, and tropical enumeration
5. The topology of K\"ahler manifolds and 1-forms without zeros
6. Core Coordinates and Negative Support in A-Hypergeometric Systems
7. Zero loci of Bernstein-Sato ideals are not necessarily linear
8. On leading Gopakumar--Vafa invariants of local $\mathbb{P}^2$ and leading Betti numbers of moduli spaces of one-dimensional sheaves on $\mathbb{P}^2$
9. Fake quadrics with bounded cohomology property
10. Decomposition of toric sheaves
11. Subspace concentration condition and Bogomolov--Gieseker inequality
12. Cyclic automorphisms beyond the canonical bound
13. On the classification of polarized surfaces with weakly Ulrich or initialized aCM tangent bundles
14. Code Equivalence and Automorphism Groups of Weighted Superelliptic Codes
15. Relative completions and separating boundary divisors in moduli of curves
16. Counting higher-rank sheaves on toric threefolds
17. Uniform positivity of the tau invariant
18. The commuting scheme of $\mathfrak{g}_2$
19. Weak approximation for Campana points on projective spaces
20. Ramification of the volume function close to asymptotic hyperplanes. Monodromy of boundary singularities
21. The Supertrace Defect of a Graded Endomorphism
22. Log Sarkisov Program for strongly $\mathbb{Q}$-factorial compact K\"ahler threefolds
23. Algebraic entropy of birational automorphism groups in families of hyper-K\"ahler manifolds
24. K-unstable Toric Varieties and Secondary Polytopes
25. Semicontinuity for families of power series II
26. Varieties Admitting Polarized Galois Endomorphisms
27. Generically Flexible Varieties with an Invariant Divisor
28. A natural Chow lemma for smooth threefolds and fourfolds
29. Centralizers of elements in the orthogonal, symplectic and unitary groups
30. Tame Discrete Sets on Affine Semisimple Homogeneous Spaces
31. Sharp bounds and gap phenomena for large $p$-subgroups of automorphism groups of curves
32. A Quadratic Bound for Automorphism Groups of Curves of Positive $p$-Rank in Odd Characteristic
33. Boundedness of minimal modifications
34. The Prym-Green conjecture in even genera up to 30
35. Generic Hodge and special Hodge--Witt polygons
36. Bi-Lipschitz invariance of the transverse polynomial along polar arcs
37. A proof of GW/DT4 conjecture on local projective plane
38. Lifting negative curves from finite fields and Seshadri constants at ten points
39. Classification of low degree del Pezzo orbifolds II
40. Simpson filtrations and closure relations of Hodge moduli spaces
41. $\mathbb{A}^1$-connectedness of moduli of semistable bundles and symplectic bundles on a curve
42. ON THE DISTANCE TO DISCRIMINANTS AND OSCULATING VARIETIES
43. Borel subgroups of the automorphism group of an affine variety
44. A quantum connection approach to rationality
45. Suciu's Conjecture on hyperplane arrangements
46. Spreading out perverse sheaves
47. Higher Braided Mixed Sums, Intersection Lattices, and Symplectic Four-Manifolds
48. SU($N$) QCD, four-manifolds and Segre numbers
49. Moments and Large Geometric Monodromy for Linearly Constrained Kloosterman Families
50. Restrictions of the dot action representation
51. Sequential exponential-motivic periods in spatially cut-off $\phi^4_2$
52. Iterated cotangent-difference integrals over totally real cyclotomic fields
53. Combinatorics of Mirkovi\'c-Vilonen cycles in twisted affine Grassmannians
54. Slope Stability for ${\mathbf Z}_p$-Towers of Curves
55. The Riemann theta function near soliton limit
56. Automorphic commutator relations in relative geometric Langlands
57. Classification of reductive monoids
58. On the DML(1) property for regular endomorphisms of affine spaces: multiplicities of points at infinity
59. A proper arithmetic surface with infinite \'etale fundamental group
60. The Lebrun--Salamon conjecture is true in dimension up to 56
61. A Bogomolov property for moduli spaces of polynomials over abelian extensions
62. Descartes' rule of signs for arbitrary fewnomial systems
63. Degeneracy loci and unlikely intersections in abelian schemes
64. Symplectic symmetries of a hypothetical exotic $CP^2$: a potential construction or a nonexistence proof

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/2026-10-05/

1. On deformations of foliated complex analytic structures II: Functors of Artin rings
2. On wall-crossing invariant combinations of Welschinger numbers for rational surfaces with a conic bundle
3. The Mumford--Tate group of a very general Lagrangian fiber
4. Regularization and algebraic stability of birational automorphisms
5. Sharp FRS and singularity thresholds for off-diagonal Gram maps
6. Pappas's conjecture on ramified unitary local models
7. Sharp Noether-type inequalities for $3$-folds of intermediate Kodaira dimensions
8. Grothendieck ring of varieties and at-the-characteristic numerical invariants
9. Arakelov inequalities for fibered surfaces in positive characteristic
10. Categorical Dynamics of Abelian Varieties
11. Extension of solvable coverings across horizontal divisors over the integers
12. Canonical extensions of ruled surfaces over elliptic curves
13. Multiplicativity of the perverse filtration in the $\mathrm{SL}_n$ case
14. Ample stability implies rigidity for quiver moduli
15. Betti Numbers of Odd Biisotropic Symplectic Grassmannians
16. K-stability of a class of smooth Fano complete intersections
17. Mond's conjecture for corank-one maps from $\mathbb C^3$ to $\mathbb C^4$
18. Super Teichm\"uller Space
19. Quantum cohomology, Hitchin systems, and Fourier--Mukai comparison
20. Simpson's closedness conjecture in arbitrary rank
21. Rationality of varieties and $\mathbb{A}^1$-homotopy theory
22. Mirror symmetry for gCICY threefolds (II): $[3,-1]$ blocks, VGIT, and toric phases
23. Mirror symmetry for gCICY threefolds (I): a $[3,-1]$ block and a non-Gorenstein toric phase
24. Small Lefschetz fibrations on the BMY line
25. Non-Malleable Affine Extractors with Small Error and Complexity Lower Bounds
26. some arithmetical aspects of the two dimensional jacobian conjecture
27. Cohomology of Linearly Constrained Kloosterman Families: Newton Polytopes, Weights, and Boundary Monodromy
28. Cubic arithmetic-geometric mean and isogenies of Hesse elliptic curves
29. Pellarin's Identity, Carlitz Period, and Anderson Generating Functions over Arbitrary Curves
30. Equivariant Poincar\'e polynomial of type B Wonderful Models
31. Quillen's finiteness conjecture for the cotangent complex in characteristic two
32. A Matsushima theorem, uniqueness and K-polystability for K\"ahler-Ricci shrinkers

arXiv math.AGの新着論文44本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-10-02/

1. Direct Group Laws on Classical Genus-One Models
2. Categorical Torelli theorem for (weighted) hypersurfaces via singularity category
3. Completed cycle transfer and the conifold gap for (P^2, E)
4. A characterization of the Ree curve
5. All Genus Gopakumar-Vafa Reconstruction from Central Difference Forcing
6. Pentagram relations
7. Derivative and multiplicity loci of elementary symmetric polynomials in positive characteristic
8. Contraction Algebras, Cyclotomic Forms, and Reflection Rigidity
9. Motivic Vanishing Cycles at Infinity and Toric Landau-Ginzburg Mirror Symmetry
10. Transcending Algebraic Geometry
11. A Pluripotential-Theoretic Approach to Finiteness of Polarized Calabi--Yau Manifolds
12. Stratification of Joint Moduli Spaces of Higgs Bundles
13. Supermoduli spaces are non-projected in every genus $g\geq 3$
14. Automorphisms of hypersurfaces in polarized varieties
15. Verdier-Type Category, Geometric Serre's conditions and perversity
16. An elliptic Calabi-Yau threefold of Mordell-Weil rank twelve
17. Abeloid varieties over higher rank valued fields: Raynaud uniformization and N\'eron models
18. Stability of representation cohomology sheaves on moduli spaces of bundles
19. Conifold factorization in topological recursion and Gromov--Witten theory
20. An explicit form of the standard conjecture of Hodge type for Hermitian varieties, with $p$-adic applications
21. Dihedral reflections and an infinite series of irrational Seshadri constants
22. Cohomology of the fine compactified universal Jacobians $\overline{J}_2$ and $\overline{J}_{2,1}$
23. Euclidean Distance Optimization Within the Grassmannian
24. Quasi-modularity of $q$-traces and integrals over Hilbert schemes
25. GW/PT-correspondence for CY 4-folds-I: Canonical Orientations
26. The Nash manifold of four-point configurations modulo similarity subgroups
27. Higher-Page Jacobian and Albanese Tori
28. Intrinsic semistable reduction loci for the iterations of non-archimedean quadratic rational functions and moduli-theoretic applications
29. Two-Line Elimination and the Weierstrass Group Law in Arbitrary Characteristic
30. Oka Geometry and Deformations of Torus-Fibred Complex Six-Spheres
31. Frobenius multiplicities and F-signatures of Grassmannians of two-planes
32. No Shortcuts to Infinity: Weil-Petersson Distance in Calabi-Yau Complex Structure Moduli Space
33. Monge-Amp\`ere degenerations and conifold contractions in Fujiki class $\mathcal{C}$
34. Algebraic limits of Hermitian-Yang-Mills connections on K\"ahler surfaces
35. The Comon Rank Gap of a Third-Order Symmetric Tensor Can Exceed One
36. Harmonic Norms on Quiver Representations over Non-Archimedean Fields
37. Uniform estimate of Lang-Weil type for counting points of schemes over finite rings
38. Complex hyperbolic surfaces whose closed geodesics are all simple
39. The Derived Algebra of Nonlinear Polynomial Divergence-Free Vector Fields
40. Quantum hierarchies of the ILW and BO equations and the DR cycles on the moduli spaces of curves
41. Matroid liftability and Oxley--Wang derived matroids, with connections to scene analysis
42. Mumford--Morita--Miller classes in generalised cohomology theories
43. Quadrangles entangled in conic nets
44. Rotation fixed points of undecorated braid varieties and fusion rings of affine Lie algebras

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/2026-10-01/

1. Complex structures on $S^6$
2. Zero velocity Lagrangians in the Hitchin system
3. Intrinsic mirror symmetry for orbifold cubic surfaces and the $A_1$ spherical DAHA
4. Finite automorphism groups of hypersurfaces via Bott vanishing
5. The Bias Conjecture for One-Parameter, Non-Isotrivial Elliptic Curve Families
6. Supersingular Tate conjecture for irreducible symplectic varieties of known types: I
7. Divisors and harmonic morphisms on metric Graphs of pseudocompact type
8. On algebraic dynamics of birational automorphisms of Calabi-Yau manifolds and the universal Coxeter groups
9. Quasi-Projectivity of Weighted Right-Angled Artin Groups
10. Canonical representatives and interval independence in Ekedahl's equivalence
11. Normal Bundle Splitting Strata of Rational Curves in Toric Varieties
12. Quivers variety for affine orthogonal quiver
13. Non-commutative Fano varieties and three-dimensional minifolds
14. Potential isotriviality of isocrystals and proper covers
15. On the quadratic length of plane Cremona maps of degree 4
16. A rational surface with discrete and non-finitely generated automorphism group
17. Structure of higher-genus open-closed Gromov--Witten theory of $\mathcal{O}_{\mathbb{P}^{1}}(p-1)\oplus\mathcal{O}_{\mathbb{P}^{1}}(-p-1)$
18. Symmetric-determinant apolarity in odd characteristic
19. Conformal blocks for modular vertex algebras
20. A combinatorial interpolation between the hypercube and the associahedron
21. Compact multi-monopole moduli spaces on K\"ahler surfaces
22. Prime Ideals and Projective Closure in the Boolean Polynomial Semiring
23. Profinite completions and cohomology jump loci
24. On the coefficients of the asymptotic of analytic torsion
25. Singularities of orbit closures in loop spaces of symmetric varieties II: twisted cases
26. Limit F-invariants of the simple singularities and the Fermat hypersurfaces
27. Limit distribution of algebraic integral points on curves
28. A Thomas-Yau-Joyce result for Lagrangian spheres in K3 surfaces
29. Invariant Shape Analysis of Surfaces with Spherical Topology
30. Type I estimates for the Kahler-Ricci flow I
31. Unipotent representations and the categorical trace of Frobenius
32. Atkin--Lehner Quotients of Modular Curves at Primes of Bad Reduction
33. Matsumura's extension problem for pluricanonical forms in K\"ahler families I: the smooth and essentially Moishezon cases

arXiv math.AGの新着論文39本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-09-30/

1. Finite generation of relative log canonical algebras of semi-dlt pairs
2. Global Sections and Birational Geometry of Calabi-Yau Type Varieties
3. Realizability of Cohomology Classes in Orthogonal Grassmannians
4. Rigidity conditions for binomials
5. Calculating Hodge and weight filtrations on localizations
6. Vanishing of degree $3$ unramified cohomology over finite fields
7. Motivic classes of Fano schemes of lines on intersections of two quadrics
8. The $F$-signature Function on the Big Cone
9. Failure of semipositive metric extension in a smooth projective family
10. Finiteness of the Chow ring of $\mathcal{M}_{5,10}$
11. Nonexistence of maximal curves of genus five over $\F_{64}$
12. From $3$-spin to Negative $r$-spin: Limits of Cohomological Field Theories and Tautological Relations
13. Voevodsky motives and motives with modulus with finite coefficients in characteristic zero
14. Jump of the Milnor Number in Linear Deformations with Fixed Order
15. Rationally connectedness and O'Grady's generalized Franchetta conjecture for K3 surfaces
16. Degenerations of shifted symplectic moduli stacks of sheaves
17. Arakelov inequalities and characterization of totally geodesic ball quotients in $\mathcal{A}_g$
18. Weighted projective spaces admitting $\mathbb Q$-Gorenstein smoothings to $\mathbb P^3$
19. Weighted projective spaces admitting $\mathbb Q$-Gorenstein smoothings to Fano threefolds with Picard number one
20. Some applications of the moduli space of $U\oplus D_8(-1)$-polarized K3 surfaces
21. Fano orbifolds admit free Campana curves
22. On the Hilbert polynomial of the linked projective space
23. Exceptional Loci and Hyperbolicity of Complements of Plane Curves with $\bar{c}_1^2 - \bar{c}_2 > 0$
24. Isotropic localizations of mixed initial motives
25. Mordell--Lang plus Geometric Bogomolov
26. Deep Points of Cluster Algebras II: Punctured Marked Surfaces
27. The opposite of admissibility for local systems on line arrangements
28. Solver Agent: an Agentic AI Framework for Theoretical Physics Computations Applied to F-theory Uplifts of O3-planes and S-folds
29. Topological Band Theory for High-Dimensional Parameter Spaces
30. p-adic Rigidity and Supercongruences at Rank Two Attractors
31. On Vojta's harder implication, height inequalities for admissible pairs, points of bounded degree and Deligne-Mumford stacks
32. Stable rational cohomology splitting of moduli of branched covers of curves
33. Six functor formalisms via internal higher algebra
34. Schreyer Resolutions over the Exterior Algebra
35. Characteristic-free Kn\"orrer periodicity
36. The WittVectors package for Macaulay2
37. Dolbeault-Hochster Theory of Polytopal LVM Manifolds
38. Dynamics on projective K3 surfaces: Herman rings
39. Diagrammatic construction of GKZ systems for polygonal functions

arXiv math.AGの新着論文50本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-09-29/

1. Recovering curves from isogeny classes of Prym varieties
2. A construction of polyptych lattices via a pair of Gorenstein PL cones
3. Riemann-Roch for 0-cycles on a singular variety
4. The moduli space of torsion-free sheaves with quasi-maximal third Chern class
5. Weak positivity and weak flatness of vector bundles
6. Large automorphism groups of curves of zero $p$-rank in odd characteristic
7. Landau--Ginzburg mirror symmetry for ADE singularities
8. Equivariant principal bundles over toric Deligne--Mumford stacks
9. Coordinate descents, monodromy, and finite normalization of marked-root maps
10. On the algebraicity of non-abelian Noether-Lefschetz loci of rank-two real local systems
11. A generalized Terao Conjecture for line arrangements
12. Uniform Unicellular Dessins d'Enfants with Trivial Automorphism Groups
13. Full termination of MMP for klt pairs with big boundaries
14. Obstructions to the ampleness of invariant jet differentials on complete intersections
15. Equivariant Riemann-Roch for Surfaces via Connections and Residues
16. A two-parameter family of complex structures on $S^6$
17. Perfectoidness of Proper Shimura Varieties With Limpid Integral Models
18. Qin's quasimodularity conjecture for Hilbert schemes of points
19. On the generalized Ree curve
20. The monodromy of Xiao's genus-two fibrations in degrees 3, 4 and 5
21. Gauss--Manin connections extend to holonomic coadmissible D-cap-modules
22. Log Calabi-Yau wall crossing for moduli of cubic surfaces
23. Higher dimensional local class field theory
24. Connectivity of the slice filtration
25. Large cyclic automorphism groups and cyclic subgroups of index two in characteristic two
26. On the De Rham Cohomology of Zero-Dimensional Schemes
27. On deformations of foliated complex analytic structures I: Theorems of existence and completeness
28. Degeneration of Calabi-Yau threefolds with Galois action induced by modular form of weight 3
29. Artin vanishing along the $\ell$-adic tower of an abelian variety
30. Maximality and configuration spaces on real algebraic curves
31. Quasi-$F$-split primitive symplectic varieties in positive characteristic
32. Equivariant multiplicities and torsion at attractive fixed points
33. Algebraic Dimension and Reduction of LVMB manifolds
34. Integral Bott--Chern cohomology of Generalized Calabi--Eckmann threefolds
35. Global log canonical thresholds for Burniat surfaces and some infinite families of surfaces of general type as $\mathbb{Z}_2^n$-covers
36. On orbits of the automorphism group of toroidal spherical varieties
37. Abelian canonical covers of minimal rational surfaces and $\mathbb F_1$ up to degree $8$
38. A uniform lower bound for the Zhang-Kawazumi invariant and applications to the Bogomolov conjecture
39. Torsion proliferation
40. Very sparse return sets in arithmetic dynamics
41. Bernstein--Sato ideals might not be linear
42. Symmetric Branching via Laurent Phenomenon Algebras
43. Stacky Heights, Entropy, and Zeta Functions of Weighted Hypersurfaces over Finite Fields
44. The Moment Method for Computing Real Points of Sparse Polynomial Systems
45. Rigid and Nonrigid Isotropic Nef Classes on K3 Surfaces
46. Yet Another Family of Complex Structures on $S^6$
47. A Quadratic Lower Bound on Determinantal Complexity
48. Gros Topoi as Partially Lax Limits of Petit Topoi
49. A B\'ezout domain that is not an elementary divisor domain
50. Singular intersections in split semiabelian varieties

arXiv math.AGの新着論文22本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-09-28/

1. Moduli Spaces of Twisted Endomorphisms and Euler Characteristics
2. The geometry of solutions to the general sextic
3. Fourier-Mukai partners and autoequivalences of moduli spaces of vector bundles
4. Symmetry and solvability: Galois groups of equivariant enumerative problems
5. Demazure Models of Algebraic Tori in Dimension 4
6. Cartier--Dieudonn\'e Theory of Connected Group Schemes
7. The norm principle for extended Clifford groups
8. Special Cohen--Macaulay sheaves on partial resolutions of rational surfaces singularities
9. On the support of double Grothendieck polynomials
10. Non-vanishing of the structure-sheaf cohomology of affine henselian schemes and henselian affinoids
11. Universal Formulas for de Jonqui\`eres Loci and Equivariant Contact Problems
12. On the transcendental Yau-Tian-Donaldson Conjecture
13. Fundamental groups of complements of wobbly divisors in intersections of two quadrics
14. Teichm\"uller and moduli spaces for complex nilmanifolds
15. Fourier duality on compactified Prym fibrations
16. Rational homotopy theory of flag manifolds
17. Photon spheres, elliptic surfaces, and Seiberg-Witten geometry
18. Revisiting three-dimensional GLSMs and K-theoretic I-functions
19. Nontransitivity of braid group actions on exceptional bases in $K_0(\mathbb{P}^n)$ for $n=4,6$
20. Profinite Non-Rigidity of Arithmetic Lattices and the K\"ahler Property
21. Completely monotone negative powers of hyperbolic polynomials
22. Formal groups and $(\varphi,\Gamma)$-modules

arXiv math.AGの新着論文40本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-09-25/

1. Projective blowups: a formal and multicentered proof
2. Reducibility and Diagonal Equality Strata for Finite Jacobi Pencils
3. Congruence spectra and geometric reconstruction of $\boldsymbol{T}$-algebras
4. Bulk-deformed enumerative mirror symmetry for toric Fano surfaces
5. The GIT of 4x3x3 tensors (determinantal cubic surfaces)
6. Affine Spherical Mass and a Gaussian Kinematic Formula for Tropical Two-Fans
7. Non-smoothable Calabi-Yau threefolds from reflexive polytopes
8. Planar rank-one sheaves on $\mathbb{P}^3$, obstruction bundles, and divisor-supported Donaldson--Thomas series
9. Bondal--Orlov reconstruction for tame stacks with trivial generic stabilizer
10. Squaring Up by Selection: NP-Completeness at Three Simple Roots
11. A Strong Global Torelli theorem for OG6 type varieties
12. The Serre-Grothendieck Finiteness Theorem for the cohomology of coherent sheaves
13. Torelli theorems for moduli stacks and twisted moduli spaces of vector bundles
14. Ramification of the moduli map for hyperplane sections of K3s and hypersurfaces
15. Stringy Irregular Hodge Numbers for Non-Simplicial Toric Landau--Ginzburg Data
16. Cartan Determinants in algebraic geometry
17. On the Analyticity of Amoeba Contours
18. Beyond Harnack Rigidity
19. Compact Complex Threefolds Fibred by Two-Dimensional Complex Tori
20. Specht ideals for the imprimitive complex reflection group $G(r,1,n)$: geometric orbit types and a dominance theorem
21. A generalized Saito criterion, from line arrangements to curves
22. Uniform Tur\'an estimates and sharp bounds for degree and mixed orbit growth
23. An irregular smooth Fano fourfold in positive characteristic
24. A Hochschild-Kostant-Rosenberg type theorem for coherent matrix factorizations
25. A Secondary Multiplicative Structure on Lawson Homology
26. Geometry of Newton homotopies: bivariate case
27. Frobenius lifts and point counting for smooth curves
28. A Peterson program for general Schubert varieties and mirror symmetry
29. Equivariant bordism rigidity for toric manifolds
30. Algebraic Expressivity Certificates for Shallow Polynomial Neural Networks
31. Noncongruence cusp forms, Veech groups and enumeration
32. Toric Richardson Varieties and Slice Links
33. Matrix factorization of quotient singularities of type A and D
34. Ricci entropy, RCD structures and Kahler spaces
35. On the DML(1) property for regular endomorphisms of affine spaces: the $\mathbb{G}_m$-case
36. Singularity Analysis for the Perspective-Four and Five-Line Problems
37. Jordan Blocks, Differential Traces, and Colon-Ideal Noncontainment over Noetherian Quotients
38. An $n^2\log\log n$ Lower Bound for Permanent Circuits with Valid Division
39. Sparsity of rational points on torsion level covers of Hilbert modular varieties
40. A quasisymmetric analog of Grassmannian Schubert varieties

arXiv math.AGの新着論文39本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-09-24/

1. A smooth quintic surface with 85 lines and Picard number 43
2. The non-abelian Hodge correspondence for extensions on quasi-projective curves
3. Euler characteristics of strata of $k$-differentials
4. Open extension of a genus zero Hurwitz-Frobenius manifold
5. Degrees and directional defects of embedded algebraic vector bundles
6. Linear Algebra and Algebraic Geometry: A Matrix Construction for Classifying Families of Algebraic Curves with No Solutions in Z^+
7. Harder-Narasimhan filtration of torsion F-gauges
8. The minimal volume of normal stable surface pairs with reduced boundary containing a zero-dimensional non-klt center
9. Rigid and obstructed tangent bundles on Calabi--Yau threefolds
10. Lengths of Hodge characters in Fermat varieties
11. Orbits in stability manifolds and categorical entropy: applications to varieties with finite Albanese morphisms
12. Landau singularities and convex geometry
13. A Topos-Theoretic Approach to the Logarithmic Cartier Transform
14. On the local theory of non-archimedean psh functions
15. Symmetric differentials on hypersurfaces in weighted projective three space
16. Non-algebraicity of Deligne--Hitchin twistor spaces
17. Searching Schemes With $p$-Adic Neumann Boundary Value Problems
18. The Tate conjecture for powers of abelian fourfolds and the Hodge conjecture for powers of CM fourfolds
19. 105 families of Fano threefolds in positive characteristic
20. $\mathbb{A}^1$-connectedness of moduli of vector bundles on a stacky curve
21. Constructing Rational Curves via Jets on Projective Varieties with Non-Nef Canonical Bundle
22. Ramond from Random: Weil-Petersson Volumes for Super-Riemann surfaces with NS Boundaries and R Punctures
23. $N=1$ Supersymmetry, Weil-Petersson Volume Recursion, and a Spectral Curve
24. A boundary-addition identity for Weil-Petersson volumes and their supersymmetric generalizations
25. Algebraically primitive Teichm\"uller curves in \Omega\mathcal M_g(2g-2)^{\mathrm{hyp}}
26. The Primitive Generalized Fermat Equation x^3+y^5=z^7: A computer-assisted proof
27. The number of Ekedahl-Oort strata intersecting the supersingular locus in the Siegel modular variety
28. Dimensions of permanental varieties in arbitrary size
29. On the normality of the commuting scheme
30. Uniform RC-positivity of tangent bundles
31. Resultant of an equivariant polynomial system with respect to the reflection group $G(r,n)$
32. Equality cases for matrix spaces with bounded-rank commutators
33. Generic $\mu$-power ideals, fat points, and symbolic powers
34. Symmetric group actions on the coordinate ring of the lower unipotent group and the polynomial ring with quantum parameters
35. Beyond the unique pair: a two-parameter family of rational triangles with equal perimeter and area
36. Derived Smooth and Banach Higher Groupoids: Representability and Descent
37. A 27 x 27 x 27 counterexample to Comon's conjecture
38. Delta Characters and Filtered Isocrystals
39. The J-equation at the birational minimal slope

arXiv math.AGの新着論文29本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-09-23/

1. Local Logarithmic Cartier Transform
2. Principal Minors and Absolute Values
3. Existence of coarse moduli superspaces for Deligne--Mumford superstacks
4. The Lange-Stuhler Theorem via Gerbes
5. Equality and iso-duality of Generalized Geometric Goppa codes
6. An analytic construction of the universal moduli space of $\mathrm{SL}_r(\mathbb C)$-Higgs bundles
7. Symbols at infinity and Lie algebras of vector fields
8. A Fan Algorithm for Chow-Witt Rings of Smooth Projective Toric Varieties
9. Cuspidal Cubic Projective Foliations: Global Rigidity, Deformations, and Pull-Backs
10. Irregular Hodge Bundles for Deligne--Mumford Landau--Ginzburg Families with Fixed Pole Orders
11. $\mathbb{P}^1$ Homotopy Theory of Schemes
12. Two-flag degenerations and real circles tangent to three conics
13. Geometric Detection and Finiteness of Crystalline Local Systems
14. Bernstein-Sato ideals for free hyperplane arrangements
15. Irrational Seshadri constants from dihedral orbits
16. Tropicalization and degeneration of short flag varieties and their fibers
17. Uniruledness and the sign of total scalar curvature
18. Brill-Noether existence with secants
19. Bogomolov-Guan Manifolds are not formal
20. The dHYM equation on crepant resolutions of Calabi-Yau cones
21. A Polytopal Realization of Higher-Categorical Associahedra
22. A proof of the Eisenbud-Huneke-Ulrich conjecture
23. S-integrality for families of ordinary K3 surfaces and algebraicity theorems
24. A Bounded Degree SOS Plus SONC Hierarchy for Polynomial Optimization
25. Resultant of an equivariant polynomial system with respect to a direct product of $r$ symmetric groups
26. Type changing, compact generalized Calabi--Yaus
27. Ample vector bundles without Griffiths-semipositive metrics
28. A first-jet characterization of Griffiths positivity
29. p-curvature in non-commutative Hodge theory and the Kontsevich-Soibelman operad