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arXiv · 1409.0592

Isogenies of abelian varieties over finite fields

A. Silverberg·Yu. G. Zarhin
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Abstract

In this paper we give conditions under which two abelian varieties that are defined over a finite field $F$, and are isogenous over some larger field, are $F$-isogenous. Further, we give conditions under which a given isogeny is defined over $F$.

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A. Silverberg, Yu. G. Zarhin. 2014-09-02. Isogenies of abelian varieties over finite fields. https://arxiv.org/abs/1409.0592

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