Vol. 4, No. 1, 2012

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Implementing the Kustin–Miller complex construction

Janko Böhm and Stavros Argyrios Papadakis

Vol. 4 (2012), 6–11
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, its implementation in the Macaulay2 package KustinMiller, and explain how it can be applied to explicit examples.

Mathematical Subject Classification 2010
Primary: 13D02
Secondary: 13P20, 13H10, 14E99
Supplementary material

KustinMiller source code

Milestones
Received: 14 April 2011
Revised: 12 January 2012
Accepted: 7 May 2012
Authors
Janko Böhm
Department of Mathematics
Universität des Saarlandes
Campus E2 4
D-66123 Saarbrücken
Germany
Stavros Argyrios Papadakis
Centro de Análise Matemática, Geometria e Sistemas Dinâmicos, Departamento de Matemática
Instituto Superior Técnico, Universidade Técnica de Lisboa
Av. Rovisco Pais
Lisboa
Portugal