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arxiv: 1409.0592 · v4 · pith:NVOMQGRHnew · submitted 2014-09-02 · 🧮 math.NT

Isogenies of abelian varieties over finite fields

classification 🧮 math.NT
keywords abelianconditionsdefinedfieldfinitegiveisogenousunder
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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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