*-transforms of acyclic complexes

2013/07/05 by Taro Inagawa, Inagawa, Taro
Mathematics · #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC

paper · pdf · doi:10.48550/arxiv.1307.1500

13 pages. arXiv admin note: substantial text overlap with arXiv:1211.0738

arxiv created 2013/12/12 · arxiv updated 2013/12/13

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 φ₁, which is an R-submodule of F₀. Then F_\bullet is an R-free resolution of F₀/M. In this paper, we describe a concrete procedure to get an acyclic complex of length n that resolves F₀/(M : Q).

Citations

• On a transform of an acyclic complex of length 3

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