Title

Abelian Varieties over Finite Fields with a Specified Characteristic Polynomial Modulo ℓ

Document Type

Article

Publication Date

2004

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.

External Access URL

http://almira.math.u-bordeaux.fr/jtnb/2004-1/jtnb16-1_english.html#jourelec