Ordinary Primes for Abelian Surfaces
Number Theory
2015-09-29 v2
Abstract
We compute the density of the set of ordinary primes of an abelian surface over a number field in terms of the l-adic monodromy group. Using the classification of l-adic monodromy groups of abelian surfaces by Fite, Kedlaya, Rotger, and Sutherland, we show the density is 1, 1/2, or 1/4.
Keywords
Cite
@article{arxiv.1506.04784,
title = {Ordinary Primes for Abelian Surfaces},
author = {William F. Sawin},
journal= {arXiv preprint arXiv:1506.04784},
year = {2015}
}
Comments
4 pages - added references