単項式イデアルと正則性と不変量とテンソル - 2026/10/20の論文15本

arXiv math.AC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-ac/episodes/2026-10-20/ Sumsets regularity versus Castelnuovo-Mumford regularity for monomial curves Bounded powers of edge ideals: Nearly Gorenstein polytopes Unique Factorization of Power Series Rings over Q-UFDs of Dimension at Most 3 Every commutative perfect ring is a quotient of an almost perfect domain Polynomial bounds for the stability of associated primes of monomial ideals On the arithmetic rank and cohomological dimension of some residual intersections Embedding into quotient Herzog Class of Codimension $3$ Licci Monomial Ideals Saturation degree of powers of graded ideals On the classification of threefold flops Rank and Border Rank Additivity of Complex Tensors with a Hankel Summand Lefschetz Properties of complete intersesctions and maximal variation of hyperplane sections Non-existence of negative weight derivations on Jacobian algebras Twisted logarithmic de Rham complexes and the rational hit conjecture Degree Bounds for Separating Polynomial and Neural Invariants for Point Clouds