Generators of Koszul homology with coefficients in a J-closed module

JOURNAL OF PURE AND APPLIED ALGEBRA

卷:224

Article

Diethorn, Rachel N.¹ 

[1] Syracuse Univ, Dept Math, Syracuse, NY 13244 USA

关键词: Koszul homology;    J-closed modules;    Weak complete intersection ideals;    Perturbation;    Free resolutions;   

DOI  :  10.1016/j.jpaa.2020.106387

来源: Elsevier

【 摘 要 】

We introduce a class of modules, called J-closed modules, inspired by the weak complete intersection ideals studied by Rahmati, Striuli, and Yang. We present explicit formulas for the generators of Koszul homology with coefficients in such modules. This generalizes work of Herzog and of Corso, Goto, Huneke, Polini, and Ulrich. We use these formulas to study connections between J-closed ideals and weak complete intersection ideals. (C) 2020 Elsevier B.V. All rights reserved.

【 授权许可】

Free