Minimal free resolutions of general points lying on cubic surfaces in \(\mathbb P^3\)
type: Item
instance of: scholarly article
title: Minimal free resolutions of general points lying on cubic surfaces in \(\mathbb P^3\)
zbMATH Open document ID: 1217.13005
author: Megan Patnott
author: Juan C. Migliore
published in: Journal of Pure and Applied Algebra
publication date: 2011-04-29T00:00:00Z
review text: The Minimal Resolution Conjecture (MRC) (stated by Lorenzini) for points in projective space roughly says that there are no ghost terms in the graded minimal free resolution for a general set of points. Mustaţǎ generalized it to a general set of points lying on a projective variety. In this paper the authors study the MRC for points on cubic surfaces in \(\mathbb P^3\) generalizing the results of Casanellas. In particular they verify the MRC for any number of points, allowing also the cubic surface to have isolated double points. The main tool (as in the paper of Casanellas) is the Gorenstein liaison, that the authors use in a more efficient way.
Mathematics Subject Classification ID: 13D02
Mathematics Subject Classification ID: 13C40
Mathematics Subject Classification ID: 14M06
Mathematics Subject Classification ID: 14M05
Mathematics Subject Classification ID: 14M07
Mathematics Subject Classification ID: 13D40
Mathematics Subject Classification ID: 13E10
zbMATH DE Number: 5882454
zbMATH Keywords: minimal resolution conjecture
zbMATH Keywords: general points
zbMATH Keywords: graded Betti numbers
zbMATH Keywords: Gorenstein liaison
reviewed by: Giuseppe Zappalà
describes a project that uses: CoCoA
MaRDI profile type: Publication
full work available at URL: j.jpaa.2010.10.009
OpenAlex ID: W2006103931
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DOI: 10.1016/J.JPAA.2010.10.009
description: scientific article; zbMATH DE number 5882454