Implementing the Kustin-Miller complex construction
Commutative Algebra
2012-07-18 v1
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.
Cite
@article{arxiv.1103.2314,
title = {Implementing the Kustin-Miller complex construction},
author = {Janko Boehm and Stavros Argyrios Papadakis},
journal= {arXiv preprint arXiv:1103.2314},
year = {2012}
}
Comments
5 pages, no figures. Package may be downloaded at http://www.math.uni-sb.de/ag/schreyer/jb/Macaulay2/KustinMiller/html/