Generalized \(k\)-configurations and their minimal free resolutions
type: Item
instance of: scholarly article
title: Generalized \(k\)-configurations and their minimal free resolutions
zbMATH Open document ID: 1077.14081
author: S. Sabourin
published in: Journal of Pure and Applied Algebra
publication date: 2004-08-19T00:00:00Z
review text: Let \(k\) be an algebraically closed field of characterisitc zero, \(D=\{d_1,\dots,d_r\}\) a set of positive integers. The notion of \(k_D\)-configuration was introduced by the author [Can. J. Math. 57, No.2, 400--415 (2005; Zbl 1083.14055)] generalizing the notion of \(k\)-configuration introduced by \textit{A. V. Geramita, P. Maroscia} and \textit{L. G. Roberts} [J. Lond. Math. Soc. 28, 443--452 (1983; Zbl 0535.13012)]. Here the author finds the minimal free resolution of each weak \(k_D\)-configuration. Several applications are given. For example, the author finds an infinite class of Hilbert functions for which no unique smallest minimal free resolution can exist for that Hilbert function.
Mathematics Subject Classification ID: 14N20
Mathematics Subject Classification ID: 13D02
Mathematics Subject Classification ID: 13D40
zbMATH DE Number: 2093445
reviewed by: Cristodor-Paul Ionescu
MaRDI profile type: Publication
full work available at URL: j.jpaa.2003.12.002
OpenAlex ID: W2034087621
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DOI: 10.1016/J.JPAA.2003.12.002
description: scientific article; zbMATH DE number 2093445