Isogenies of abelian varieties over finite fields

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 $F$.

Cited by in corpus (1)

• Anabelian geometry and descent obstructions on moduli spaces