On the homogeneous ideal of projectively normal curves
type: Item
instance of: scholarly article
title: On the homogeneous ideal of projectively normal curves
zbMATH Open document ID: 0716.14021
DOI: 10.1007/BF01790343
author: E. Ballico
published in: Annali di Matematica Pura ed Applicata. Serie Quarta
publication date: 1989-01-01T00:00:00Z
review text: The author fixes integers k, d, g such that \(g\geq 0\), \(d\geq g+3\), \(k>0\), \(2k<d-g\), \(d\geq (g(k+1)/k)+k+1\) and proves then that for any general line bundle L of degree \(d\) on a general smooth complete algebraic curve X of genus \(g\) over an algebraically closed field, the projective image of X associated to L is projectively normal and its homogeneous ideal is generated by quadratic forms.
Mathematics Subject Classification ID: 14H60
Mathematics Subject Classification ID: 14C20
Mathematics Subject Classification ID: 14N05
Mathematics Subject Classification ID: 14F05
zbMATH DE Number: 4179537
zbMATH Keywords: projectively normal curve
zbMATH Keywords: line bundle
reviewed by: Eduardo Casas-Alvero
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01790343
OpenAlex ID: W2012241946
description: scientific article; zbMATH DE number 4179537