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arXiv · 1211.0738

On a transform of an acyclic complex of length 3

Kosuke Fukumuro·Taro Inagawa·Koji Nishida
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Abstract

Let (R, m) be a Cohen-Macaulay local ring and Q a parameter ideal of R. Suppose that an acyclic complex of length 3 which is an R-free resolution of an ideal I of R is given. In this paper, we describe a concrete procedure to get an acyclic complex of length 3 that becomes an R-free resolution of I : Q. As an application, we compute the symbolic powers of ideals generated by maximal minors of certain 2 x 3 matrices.

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Kosuke Fukumuro, Taro Inagawa, Koji Nishida. 2012-11-05. On a transform of an acyclic complex of length 3. https://arxiv.org/abs/1211.0738

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