Very ample invertible sheaves of new type on abelian varieties
type: Item
instance of: scholarly article
title: Very ample invertible sheaves of new type on abelian varieties
zbMATH Open document ID: 0807.14034
author: Ryuji Sasaki
published in: Tsukuba Journal of Mathematics
publication date: 1995-03-05T00:00:00Z
review text: The author proves the following result (which is a generalization of a classical result due to Comessatti): Let \(A\) be an abelian variety over an algebraically closed field. Let \(L\) and \(M\) be two line bundles on \(A\) such that \(h^ 0 (A,L) = h^ 0 (A,M) = 1\). Write \(L \cong {\mathcal O}_ A (D)\) and \(M \cong {\mathcal O}_ A (E)\), with \(D\) and \(E\) positive divisors, and assume that each component of \(D\) is not algebraically equivalent to a component of \(E\). Then \(L \otimes M\) is very ample.
reviewed by: Lucian Bădescu
Mathematics Subject Classification ID: 14K05
Mathematics Subject Classification ID: 14F05
Mathematics Subject Classification ID: 14C20
zbMATH DE Number: 515570
zbMATH Keywords: very ampleness of line bundles
zbMATH Keywords: line bundles on abelian variety
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.21099/tkbjm/1496162127
OpenAlex ID: W1900716359
DOI: 10.21099/TKBJM/1496162127
description: scientific article; zbMATH DE number 515570