Year: 2013
Type: preprint
Abstract: Let R be an n-dimensional Cohen-Macaulay local ring and Q a parameter ideal of R. Suppose that an acyclic complex (F_{\bullet}, φ_{\bullet}) of length n of finitely generated free R-modules is given. We put M = Im φ_{1}, which is an R-submodule of F_{0}. Then F_{\bullet} is an R-free resolution of F_{0}/M. In this paper, we describe a concrete procedure to get an acyclic complex of length n that resolves F_{0}/(M : Q).
Source: arXiv (Cornell University)
Author: Inagawa, Taro
Institution: Chiba University
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W1590945577