Work

Implementing the Kustin-Miller complex construction

Year: 2011

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1103.2314

Authors: Boehm, Janko, Papadakis, Stavros Argyrios

Institutions: Instituto Superior Técnico, Centro de Análise Matemática Geometria e Sistemas Dinâmicos, Universidade Técnica de Lisboa, Saarland University

Language: English

Topic: Commutative Algebra and Its Applications

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Deutsche Forschungsgemeinschaft, Fundação para a Ciência e a Tecnologia

Awards: Geometria Algébrica, G4508731996

OpenAlex ID: W1970976866

Cites: 7

Cited by: 3

Related to: 20