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Implementing the
Kustin–Miller complex construction
Janko Böhm and Stavros Argyrios Papadakis
Vol. 4 (2012), 6–11
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Abstract |
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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
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Supplementary material |
Milestones
Received: 14 April 2011
Revised: 12 January 2012
Accepted: 7 May 2012
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Authors |
| Janko Böhm | |
| Department of Mathematics Universität des Saarlandes Campus E2 4 D-66123 Saarbrücken Germany |
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| 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 |
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