Equivariant isomorphisms of Ext and Tor modules

JOURNAL OF ALGEBRA

卷:546

Article

Pollitz, Josh¹ 

[1] Univ Utah, Dept Math, Salt Lake City, UT 84112 USA

关键词: Ext;    Tor;    Poincare series;    Bass series;    Complete intersections;    Perturbations;    Koszul complexes;    DG algebra;    DG modules;    Resolutions;   

DOI  :  10.1016/j.jalgebra.2019.11.003

来源: Elsevier

【 摘 要 】

In this article we establish equivariant isomorphisms of Ext and Tor modules over different relative complete intersections. More precisely, for a commutative ring Q, this paper investi- gates how Ext(Q/(f))* (M, N) and Tor(*)(Q/(f)) (M, N) change when (f) one varies f among all Koszul-regular sequences of a fixed length such that f M = 0 and f N = 0. Of notable interest is how the theory of perturbations is used to establish isomorphisms of certain DG modules. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free