Some remarks on ample line bundles on abelian varieties
type: Item
instance of: scholarly article
title: Some remarks on ample line bundles on abelian varieties
zbMATH Open document ID: 0595.14013
DOI: 10.1007/BF02218082
author: Akira Ohbuchi
published in: Manuscripta Mathematica
publication date: 1987-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/155195
review text: Let \({\mathcal L}\) be an ample line bundle on an abelian variety A. If (A,\({\mathcal L})\) is not isomorphic to \((A_ 1\times A_ 2\), \({\mathcal O}(D_ 1\times A_ 2+A_ 1\times D_ 2))\) where \(A_ i\) \((i=1,2)\) is an abelian variety of positive dimension, \(D_ i\) is an ample divisor on \(A_ i\) \((i=1,2)\) and dim \(\Gamma\) (A\({}_ 1,{\mathcal O}(D_ 1))=1\), and if dim \(\Gamma\) (A,\({\mathcal L})\geq 2\), then \({\mathcal L}^{\otimes 2}\) is very ample.
Mathematics Subject Classification ID: 14F05
Mathematics Subject Classification ID: 14K99
zbMATH DE Number: 3957284
zbMATH Keywords: abelian variety
zbMATH Keywords: very ampleness of tensor power of ample line bundle
MaRDI profile type: Publication
cites work: Q4889534
cites work: Q5628266
cites work: Ample Divisors on Abelian Surfaces
cites work: Projective Models of K - 3 Surfaces
cites work: Q3270271
OpenAlex ID: W1966245855
description: scientific article; zbMATH DE number 3957284