Isogenies of abelian varieties over finite fields
Number Theory
2015-04-07 v4
Abstract
In this paper we give conditions under which two abelian varieties that are defined over a finite field , and are isogenous over some larger field, are -isogenous. Further, we give conditions under which a given isogeny is defined over .
Cite
@article{arxiv.1409.0592,
title = {Isogenies of abelian varieties over finite fields},
author = {A. Silverberg and Yu. G. Zarhin},
journal= {arXiv preprint arXiv:1409.0592},
year = {2015}
}