構造とコホモロジーと不変量の研究 - 2026/10/19の論文30本

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/2026-10-19/ Computing S(X) for Ruled Surfaces Defined by Stable Bundles on Curves of Genus 2 Generic vanishing for Dolbeault cohomology of mixed Hodge modules on abelian varieties Vector bundles on singular surfaces and threefolds Hypercube Richardson varieties from magic words $a$-numbers of covers in characteristic two: semigroups and Riemann-Roch spaces $R$-trivial Galois cohomology classes and cohomological $p$-dimension Low-weight compactly supported cohomology of $\mathcal M_{g,n}^{ct}$ and the extended Torelli morphism The geometric exceptional set for Fano threefolds Seven ordered points and the nonexistence of arithmetic ball quotient compactifications Weighted configurations and the nonexistence of arithmetic ball quotient compactifications Ambient Chow Rings of Debarre--Voisin Fourfolds and the Beauville--Voisin Conjecture Brauer-Manin obstruction for symmetric powers Smooth Limits of Stable Manifolds Lefschetz Pencils on surfaces and an application to Seshadri constants mixed Hodge structures on the strictly upper triangular Lie algebras On the crystalline Artin--Mumford invariant Local topological zeta functions of generic symmetric and catalecticant determinantal varieties Spectral networks, finite webs, and the $T_3$ cubic differential Deligne--Faltings Logarithmic Derived Geometry with a View towards Logarithmic GLSM Twisted $\mathbb{A}^1$-degrees of Wronski maps Presentability of categories of localizations and analytic rings Semialgebraic ${C^m}$ solutions to a univariate system of linear inequalities with Nash forcing Approximation and extension theorems for normal affine toric varieties A cubulation of the associahedron using a torus-equivariant degeneration of the brick variety Point Modules of Non-Connected Graded Algebras Folding to the Bessel-Clifford system, and Equivariant Topological Recursion A Topological Quantum Field Theory for Representation Varieties of Torus Links Finite Cyclic Fundamental Groups and Exotic Universal Covers from the Cartwright--Steger Surface Dg models for derived differential operators Identifiability from Moments in Independent Component Analysis Mixture Models