On the regularity of certain projective monomial curves
type: Item
instance of: scholarly article
title: On the regularity of certain projective monomial curves
zbMATH Open document ID: 1229.14029
author: Mehdi Omidali
author: Leslie G. Roberts
published in: Illinois Journal of Mathematics
publication date: 2011-11-28T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.ijm/1318598670
review text: The present paper studies the Castelnuovo-Mumford regularity of projective monomial curves. The main result of the paper, Theorem 3.4 describes the regularity of a projective monomial curve in terms of combinatorial data associated to the curve. Section 4 of the paper gives two applications of this result. First the authors describe an algorithm to compute the regularity of projective monomial curves. Second, Theorem 3.4 is applied to compute the regularity of an infinite class of almost arithmetic progression curves.
Mathematics Subject Classification ID: 14H99
Mathematics Subject Classification ID: 13D02
Mathematics Subject Classification ID: 14Q05
zbMATH DE Number: 5981641
zbMATH Keywords: Castelnuovo-Mumford regularity
zbMATH Keywords: projective monomial curves
reviewed by: Eduardo Saenz-de-Cabezon
describes a project that uses: mregular
describes a project that uses: SINGULAR
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 5981641