Implementing the Kustin-Miller complex construction

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.

5 pages, no figures. Package may be downloaded at http://www.math.uni-sb.de/ag/schreyer/jb/Macaulay2/KustinMiller/html/

References in corpus (4)

• Parallel Kustin--Miller unprojection with an application to Calabi--Yau geometry
• On the structure of Stanley-Reisner rings associated to cyclic polytopes
• A construction of numerical Campedelli Surfaces with \Z/6 torsion group
• Stellar subdivisions and Stanley-Reisner rings of Gorenstein complexes

Cited by in corpus (1)

• Bilinkage in codimension $3$ and canonical surfaces of degree $18$ in ${\mathbb{P}}^5$