Reductions of abelian varieties of generalized Mumford type
Number Theory
2017-11-01 v3
Abstract
We study the special fibers of a certain class of absolutely simple abelian varieties over number fields with endomorphism rings and possessing -adic monodromy groups of the least possible rank. We also study the Dirichlet density of the places at which the possible reductions occur and confirm a special case of a broader conjecture for the splitting of reductions of abelian varieties over number fields.
Keywords
Cite
@article{arxiv.1611.06411,
title = {Reductions of abelian varieties of generalized Mumford type},
author = {Steve Thakur},
journal= {arXiv preprint arXiv:1611.06411},
year = {2017}
}
Comments
Some suggestions incorporated; typos corrected