Böhm, Janko; Papadakis, Stavros Argyrios Implementing the Kustin-Miller complex construction. (English) Zbl 1311.13012 J. Softw. Algebra Geom. 4, 6-11 (2012). Summary: 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, its implementation in the Macaulay2 package KustinMiller, and explain how it can be applied to explicit examples. Cited in 3 Documents MSC: 13D02 Syzygies, resolutions, complexes and commutative rings 13P20 Computational homological algebra 13H10 Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) 13F55 Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes Software:Macaulay2; KustinMiller PDF BibTeX XML Cite \textit{J. Böhm} and \textit{S. A. Papadakis}, J. Softw. Algebra Geom. 4, 6--11 (2012; Zbl 1311.13012) Full Text: DOI arXiv OpenURL