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arXiv · 1307.1500

*-transforms of acyclic complexes

Taro Inagawa
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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).

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Taro Inagawa. 2013-12-12. *-transforms of acyclic complexes. https://arxiv.org/abs/1307.1500

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