イデアルとコホモロジーと多様体 - 2026/9/22の論文22本

arXiv math.AC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-ac/episodes/2026-09-22/ The Bourbaki Degree of Line Arrangements On the n-perfectness under split nilpotent extensions v-numbers of symbolic-ordinary discrepancy modules Mixed multiplicities and Rees Theorems for graded families and their converses Quasi-projective dimension for complexes via filtrations The Coproduct of Ideals and the Coprime Spectrum On Regular Mac Lane-Vaqui\'e chains Prime and Cohen-Macaulay ideals of 2-minors with linear resolution $\aleph_m$-presented Gorenstein flat modules and Gorenstein dimensions of groups Descent along flat composed with radicalization The algebraicity of generating functions using nested Artin approximation The structure of almost symmetric almost complete intersection numerical semigroups A non-spatial frame of smashing ideals A codimension formula for intrinsic perturbation of $A$-hypergeometric series Special valuations and automorphisms of affine log Calabi--Yau varieties Local cohomology with Schubert support on compact Hermitian symmetric spaces Bimeromorphic invariance of $\partial\bar\partial$-property and blow-up formulae I: counterexamples and derived category approach Hilbert functions over the exterior algebra and f-vectors in higher rank I: Amata-Crupi monomial modules, Kozlov polytopes, and r-vectors of simplicial complexes A local cohomology obstruction to small Cohen--Macaulay modules Sharp zero estimates for trajectories of polynomial vector fields 2-step ideals and commuting matrices Algebraic independence of periods of Anderson modules and their hyperderivatives