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.
- Pub Date:
- March 2011
- Mathematics - Commutative Algebra;
- 13D02 (Primary) 13P20;
- 14E99 (Secondary)
- 5 pages, no figures. Package may be downloaded at http://www.math.uni-sb.de/ag/schreyer/jb/Macaulay2/KustinMiller/html/