Line bundles and non-algebraically closed fields
type: Item
instance of: scholarly article
title: Line bundles and non-algebraically closed fields
zbMATH Open document ID: 0807.14017
author: E. Ballico
published in: Rocky Mountain Journal of Mathematics
publication date: 1995-03-05T00:00:00Z
review text: Let \(k\) be a non-algebraically closed field, and let \(K\) be an algebraic closure of \(k\). Let \(X\) (resp. \(L)\) be an algebraic variety over \(k\) (resp. a line bundle on \(X)\). Then \(X(k)\) can be considered as a subset of \(X(K)\). The author relates the properties of \(k\) and the order of the restriction of \(L\) to an open neighbourhood of \(X(k)\) in \(X(K)\).
reviewed by: Lucian Bădescu
Mathematics Subject Classification ID: 14G27
Mathematics Subject Classification ID: 14F05
Mathematics Subject Classification ID: 14A10
zbMATH DE Number: 515183
zbMATH Keywords: closure of non-closed field
zbMATH Keywords: algebraic variety
zbMATH Keywords: line bundle
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1216/rmjm/1181072570
OpenAlex ID: W2000238743
cites work: Vector Bundles Over an Elliptic Curve
cites work: Q4143433
cites work: Q3487539
cites work: Faisceaux algébriques cohérents
cites work: Q3208772
DOI: 10.1216/RMJM/1181072570
description: scientific article; zbMATH DE number 515183