2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/60232We 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.5 pages, submitted to the Proceedings of the AMS. AMS-LaTeX format. Completely revised. Original paper had numerous references to unproved conjectures. These have been removed, but see math.NT/0105087 for proofs of some of themNumber TheoryAlgebraic GeometryAbelian varieties over finite fields with a specified characteristic polynomial modulo ltext