Gaps for the genera of multiple structures on projective curves
type: Item
instance of: scholarly article
title: Gaps for the genera of multiple structures on projective curves
zbMATH Open document ID: 0860.14028
author: E. Ballico
published in: Journal of Algebra
publication date: 1997-04-28T00:00:00Z
review text: In this paper one studies the gaps for the arithmetic genera of locally Cohen-Macaulay curves \(X\) in \(\mathbb{P}^r\), with the property that \(X_{\text{red}} = C\) are smooth curves and which are embedded in the first infinitesimal neighbourhood of \(C\) in \(\mathbb{P}^r\), in terms of \(d= \deg C\), \(r\), and the multiplicity of \(X\).
Mathematics Subject Classification ID: 14H50
Mathematics Subject Classification ID: 14H45
Mathematics Subject Classification ID: 14C05
zbMATH DE Number: 923673
zbMATH Keywords: normal bundle
zbMATH Keywords: Hilbert scheme
zbMATH Keywords: gaps for the arithmetic genera
zbMATH Keywords: locally Cohen-Macaulay curves
reviewed by: Nicolae Manolache
MaRDI profile type: Publication
full work available at URL: jabr.1996.0208
OpenAlex ID: W2046355842
DOI: 10.1006/JABR.1996.0208
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description: scientific article; zbMATH DE number 923673