arXiv math.AGの新着論文24本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-05-19/

1. On positivity of the limit F-signature
2. Automorphisms of the moduli space of smooth cubic surfaces and its fundamental group
3. Tropical curves with parallel rays
4. Moduli of Persson surfaces: The compactification via KSBA stable pairs and a generic global Torelli type theorem
5. Generic $\mathcal{A}$-finite determinacy and singularities of homogeneous polynomial mappings
6. Rationality problem for norm one tori of tensor products of \'etale algebras and Hasse norm principle
7. On the poles of zeta functions for finite morphisms between normal surfaces
8. $\mathbb T$-homogeneous locally nilpotent derivations of trinomial algebras
9. Logarithmic Hilbert schemes of curves as weighted blow-ups and their integral Chow rings
10. Genus formulas for dormant modular curves and asymptotic behavior of their function fields
11. Duality for dormant opers of classical types B and C
12. Degenerations and Stability of K\"ahler Structures on Calabi--Yau Manifolds
13. Chern classes of Laughlin bundles on the quasihole moduli space
14. Zero-cycles on Moduli Spaces of Twisted Sheaves and Applications to Double EPW Quartics
15. Lie algebroid Connections, Moduli of $\mathcal{L}$--twisted Principal Objects and motives
16. 2-dimensional finite-gap Schr\"{o}dinger operator whose spectrum admits two involutions
17. Picard bundles and the degree of irrationality of Jacobians
18. Spherical Milnor Spaces II: Projective Quotients and Higher Topological Structures
19. Holomorphic disks and GIT quotients
20. Rank varieties over the generic hypersurface I
21. Decay of weighted cusp counts for congruence subgroups of $SL_2$ over number fields
22. Computing points in connected components defined by a real inequation: algorithms, complexity and implementations, Part I
23. The Symmetries of Three-Layer ReLU Networks
24. Monodromy of Calabi-Yau threefold flops via grade restriction rule and their quantum Kahler moduli

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/2026-05-18/

1. The Tropical Moduli Space of Degree-3 Rational Maps
2. A category of graded matrix factorizations of a deformed polynomial associated to the $A_{\mu}$-singularity
3. Homological Mirror Symmetry for Conic Bundle
4. Exponential concentration for quantum periods via mirror symmetry
5. Explicitly combing hedgehogs over fields of Stufe 4
6. Representability of the automorphism group of finitely generated vertex algebras
7. Projections of convex polytopes to a line and higher univariate Prony systems
8. Duality of analytic Hopf algebras and the Amice transform
9. On Drinfeld's representability theorem

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/2026-05-15/

1. On the DCC Property of Iitaka Volume with Real Coefficients and Generalised Pairs
2. Construction of Non-special Divisors on Kummer Covers With Arbritary Ramification For LCP Codes
3. Degeneration Theorems of Connes and Feigin--Tsygan Type in Mixed Characteristic, with q-Analogues
4. The Localization Theorem for the Motivic Homotopy Theory of Complex Analytic Stacks and other Geometric Settings
5. Weierstrass semigroups at totally ramified places of degree one on Kummer extensions
6. Kuznetsov components ans transcendental motives of cubic fourfolds
7. Frobenius--Witt cotangent complexes
8. Fourier transform and exponential Hodge modules
9. Counting symmetric unimodular triangulations
10. Numerical characterizations for integral dependence of graded modules
11. Non-vanishing of homotopy groups of Manin--Schechtman arrangements
12. Reducibility of spectral curves of finite Jacobi pencils
13. Complete simplicial fans, Stanley--Reisner rings, and equivariant h-polynomials

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/2026-05-14/

1. Notes on Lie derivatives, algebraic D-varieties, and Ax's theorem
2. Orbits of subgroups of codimension one to four of the Iwahori group in the affine flag variety of $\text{SL}_2$
3. Tautological modular forms of level two and degree two
4. Remarks on diagonal dimension for algebraic stacks
5. Quadratic Euler Characteristic of Geometrically Cyclic Branched Coverings
6. On Ramanujam's Theorem About Finite Fimensional Groups of Automorphisms
7. Solvable Automorphism Groups of Varieties
8. Infinitesimal automorphisms and obstruction theory on the moduli of $L$-valued $G$-Higgs bundles
9. Euclidean distance degree defect of singular projective varieties
10. A Derived Legendrian Category for Shifted Contact Stacks
11. Tilt-stability on singular schemes and Bogomolov-Gieseker-type inequalities
12. Graphs of Hecke operators in mixed ramification
13. Componentwise height bounds for polynomial value-set lifting
14. Semi-interlaced polytopes
15. Strategic PAC Learnability via Geometric Definability

arXiv math.AGの新着論文16本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-05-13/

1. Theta functions for singular curves
2. Functoriality of logarithmic Hochschild homology of log smooth pairs
3. Evaluation codes from linear systems of conics
4. Automorphism Groups of Reductive and Root Monoids
5. Geometric Construction of the McKay-Slodowy Correspondence
6. The equivariant Milnor-Witt motive of $\overline{\mathcal{M}}_{1,2}$
7. K-theory of Gieseker variety and type A cyclotomic Hecke algebra
8. Positive Geometries from Cubic Surfaces
9. Double Veronese cones with singularities
10. Representations of Reeb spaces via simplified graphs and examples
11. The real Jacobian conjecture for maps with one component having degree 6
12. Symmetry in Equivariant cohomology of $\mathbb{P}^n$
13. The 2-part of the Bloch-Kato conjecture, and indivisibility results, for $K_2$ of some elliptic curves
14. Infinitesimal random dynamics of certain Veech groups on SU(2)-character varieties
15. Local height arguments toward the dynamical Mordell-Lang conjecture
16. Condensed Mathematics and Complex Geometry

arXiv math.AGの新着論文28本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-05-12/

1. Equivariant Quotients of Derived Symplectic Spaces and Legendrian Intersection Theorem
2. Equisingularity in families of double point curves
3. Kodaira dimension of algebraic fiber spaces over threefolds : Part 1
4. Refined obstructions to local-global principles for 0-cycles
5. Merge-position invariance in quadratically enriched tropical floor diagrams
6. A curve and its abstract generalized Jacobian
7. Generic vector fields on isolated complex hypersurface germs
8. On the tangent degree and the degree of the tangent variety of a projective variety
9. Refined lattice point counting on the moduli space of Klein surfaces
10. The equations of general Hassett maximal cubic fourfolds
11. Plane rectifiable curves: old and new
12. Grothendieck Weights on Permutohedral Varieties and Matroids
13. Centralizers of the complex orthogonal and symplectic group
14. Geometric Shafarevich boundedness conjecture for families of polarized varieties
15. Homological sieve and Manin's conjecture
16. Quasi-Projective Moduli for Polarized klt Good Minimal Models
17. Polarized cylinders on blow-ups of weighted projective planes
18. On Galois categories and condensed contractible schemes
19. Two-dimensional Virasoro algebras
20. Canonical forms and moment-generating functions of plane polypols
21. Some remarks on degeneracy of tridimensional tensors
22. On coupled K\"ahler-Einstein metrics and weighted solitons on Fano manifolds
23. Non-$R$-trivial proper projective similitudes in type $A_3\equiv D_3$
24. Rational points on smooth surfaces in $\mathbb{P}^3$ over finite fields
25. Highly connected non-formal Milnor fibers via polyhedral products
26. Minimal Filling Architectures of Polynomial Neural Networks: Counterexamples, Frontier Search, and Defects
27. Symplectic log Kodaira dimension $-\infty$, Hirzebruch--Jung strings and weighted projective planes
28. Middle convolution for Lie algebra representations

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/2026-05-11/

1. Corrigendum to `Evaluation of motivic functions, non-nullity, and integrability in fibers', Advances in Mathematics, Vol. 409, Part A, Paper No. 108635, 29 pages, doi:10.1016/j.aim.2022.108635 (2022)
2. The Local Bourbaki Degree of a Plane Projective Curve
3. Weight of the De Rham-Betti Structures of Abelian Varieties
4. The Structure of $C^\infty$-Superschemes
5. Modularity of Feynman Integrals and Factorization of Appell F2 Systems
6. Geometry of weak contact conics to irreducible quartics with 2 nodes and 1 cusp via rational elliptic surfaces and Zariski pairs
7. The Isomorphism Classes of the Surfaces $x_1^{a_1} + x_2^{a_2} + x_3^{a_3} + 1 = 0$
8. Relative $\mathbb{A}^1$-Contractibility of Smooth Schemes
9. Root bounds of vertical systems using tropical geometry
10. Homogeneous pre-foliations of co-degree one and degree four on the projective plane
11. Adjoint test modules along Cohen--Macaulay morphisms
12. Tensor product surfaces and graded syzygies
13. On Bands and Limit Theorems in Tropical Geometry
14. Finite order symplectic birational self-maps on Kummer-type manifolds
15. Analytical solutions for some quadratic ODEs found via linear rational eigenfunctions and the rational eigenfunction variety
16. Genus drop involving non-hyperelliptic curves in Feynman integrals
17. Asymptotics of small eigenvalues on degenerations of K\"ahler manifolds

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/2026-05-08/

1. On Brauer groups of known Enriques manifolds
2. On the cohomological purity of the affine Springer fibers
3. The minimal volume of stable surfaces of rank one
4. Geography and Deformations of $\mathbb{Z}_2^s$-Covers of General Type Over Weighted Projective Threefolds
5. Thom-Sebastiani Theorem for Hodge Modules
6. The Ciliberto-Di Gennaro conjecture for $d=5$
7. A two-step approach to Chow quotients
8. On a generalized Poincar\'e series of plane valuations
9. An explicit formula for the Artin invariant of smooth K3 hypersurfaces
10. Rational homology disk degenerations of elliptic surfaces
11. A Structure Sheaf for Kirch Topology
12. Revised Demailly's Affineness Criterion and Algebraization of Entire Grauert Tubes
13. Bulk-deformations, Floer complex bordism, and Grothendieck-Riemann-Roch

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/2026-05-07/

1. \'Etale Extensions of Unipotent Torsors
2. Tropical resolutions of configuration hypersurfaces
3. Smoothing low-dimensional cycles in algebraic cobordism
4. Local isomorphisms for families of projective non-unruled manifolds
5. Stability conditions and infinitesimal deformation of curves
6. On Waring rank jumps via critical rank-one approximations
7. The McKay correspondence and local heights for wild-by-tame split metacyclic groups
8. Geometry of multilinear varieties over infinite fields and its applications
9. A low-valence ribbon graph complex computing the cohomology of $M_{g,m}$
10. Nonlinearizable embeddings of elliptic curves in rational surfaces
11. On the biggest purely non-free conformal actions on compact Riemann surfaces and their asymptotic properties
12. Rigid homotopies for sampling from algebraic varieties: a Waring structure complexity model
13. $\mathbb{G}_m$-cohomology of $p$-adic Stein spaces
14. On Minimum CADs for Algebraic Sets in Dimension Three
15. Multiplicative $f$-ic forms on algebraic varieties arising from Thaine's generalized Jacobi sums

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/2026-05-06/

1. Bures Geodesics and Restricted Barycenters for Kronecker Positive Definite Matrices
2. Support theorem of universal compactified Jacobians
3. Gaiotto Loci and the Nilpotent Cone for $\mathrm{Sp}_{2n}(\mathbb C)$
4. Theorems of Bertini and Chevalley
5. Formal moduli and the splitting theory of supermanifolds
6. Real approximation for homogeneous spaces with finite stabilizers
7. Spectral correspondence for cyclic Higgs bundles
8. Twisted cohomology on algebraic and analytic varieties
9. Lectures on Analytic Geometry
10. Birational Classification of Orbifold Compactified Jacobians
11. Equivariant intermediate Jacobians and intersections of two quadrics
12. Some Taylor varieties with null Hessian
13. A connection between minimal nilpotent orbits of types A and D via Hamiltonian reduction
14. Infinitesimal characters for the completed cohomology of $\mathrm{GL}_n$ over CM fields
15. Open-closed Deligne-Mumford field theories: construction
16. Characteristic-free approaches around Yu's construction
17. Lectures on Condensed Mathematics
18. Dimer models on astroidal zig-zag graphs