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Abelian varieties over finite fields with a specified characteristic polynomial modulo l

Joshua Holden
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Abstract

We estimate the fraction of isogeny classes of abelian varieties over a finite field which have a given characteristic polynomial P(T) modulo l. As an application we find the proportion of isogeny classes of abelian varieties with a rational point of order l.

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Joshua Holden. 2001-05-26. Abelian varieties over finite fields with a specified characteristic polynomial modulo l. https://arxiv.org/abs/math/0010284

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