On the order of abelian varieties with trivial endomorphism ring reduced modulo a prime
نویسندگان
چکیده
منابع مشابه
Endomorphism fields of abelian varieties
We give a sharp divisibility bound, in terms of g, for the degree of the field extension required to realize the endomorphisms of an abelian variety of dimension g over an arbitrary number field; this refines a result of Silverberg. This follows from a stronger result giving the same bound for the order of the component group of the Sato–Tate group of the abelian variety, which had been proved ...
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ژورنال
عنوان ژورنال: Finite Fields and Their Applications
سال: 2014
ISSN: 1071-5797
DOI: 10.1016/j.ffa.2014.01.002