*-transforms of acyclic complexes
| Autor: | Inagawa, Taro |
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| Rok vydání: | 2013 |
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| Druh dokumentu: | Working Paper |
| Popis: | Let R be an n-dimensional Cohen-Macaulay local ring and Q a parameter ideal of R. Suppose that an acyclic complex (F_{\bullet}, \varphi_{\bullet}) of length n of finitely generated free R-modules is given. We put M = Im \varphi_{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). Comment: 13 pages. arXiv admin note: substantial text overlap with arXiv:1211.0738 |
| Databáze: | arXiv |
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