Authors
Citation
Hw. Lenstra et al., ABELIAN SUBVARIETIES, Journal of algebra, 180(2), 1996, pp. 513-516
Citations number
9
Categorie Soggetti
Mathematics, Pure",Mathematics
Journal title
ISSN journal
00218693
Volume
180
Issue
2
Year of publication
1996
Pages
513 - 516
Database
ISI
SICI code
0021-8693(1996)180:2<513:AS>2.0.ZU;2-O
Abstract
Let K be a field and let X be an abelian variety over K. The group Aut
X of K-automorphisms of X acts in a natural way on the set of abelian
subvarieties of X that are defined over K. In this paper it is proved
that the number of orbits is finite. The proof makes use of a finiten
ess result about semisimple algebras. (C) 1996 Academic Press, Inc.