Vol. 4, No. 1, 2012

Download this article
Download this article For screen
Recent Issues
Volume 14, Issue 1
Volume 13, Issue 1
Volume 12, Issue 1
Volume 11, Issue 1
Volume 10, Issue 1
Volume 9, Issue 2
Volume 9, Issue 1
Volume 8, Issue 1
Volume 7, Issue 1
Volume 6, Issue 1
Volume 5, Issue 1
Volume 4, Issue 1
Volume 3, Issue 1
Volume 2, Issue 1
Volume 1, Issue 1
The Journal
About the Journal
Editorial Board
Submission Guidelines
Submission Form
Policies for Authors
Ethics Statement
ISSN: 1948-7916
Author Index
To Appear
Other MSP Journals
Implementing the Kustin–Miller complex construction

Janko Böhm and Stavros Argyrios Papadakis

Vol. 4 (2012), 6–11

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

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