Abelian varieties over finite fields with a specified characteristic polynomial modulo l
数论
2007-05-23 v2 代数几何
摘要
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.
引用
@article{arxiv.math/0010284,
title = {Abelian varieties over finite fields with a specified characteristic polynomial modulo l},
author = {Joshua Holden},
journal= {arXiv preprint arXiv:math/0010284},
year = {2007}
}
备注
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 them