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Implementing the Kustin-Miller complex construction

By Janko Boehm and Stavros Argyrios Papadakis

Abstract

The Kustin-Miller complex construction, due to A. Kustin and M. Miller, can be applied to a pair of resolutions of Gorenstein rings with certain properties to obtain a new Gorenstein ring and a resolution of it. It gives a tool to construct and analyze Gorenstein rings of high codimension. We describe the Kustin-Miller complex and its implementation in the Macaulay2 package KustinMiller, and explain how it can be applied to explicit examples.Comment: 5 pages, no figures. Package may be downloaded at http://www.math.uni-sb.de/ag/schreyer/jb/Macaulay2/KustinMiller/html

Topics: Mathematics - Commutative Algebra, 13D02 (Primary) 13P20, 13H10, 14E99 (Secondary)
Year: 2011
OAI identifier: oai:arXiv.org:1103.2314
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