$p$-kernels occurring in an isogeny class of $p$-divisible groups
Number Theory
2017-12-06 v2 Algebraic Geometry
Abstract
We give a criterion which allows to determine, in terms of the combinatorics of the root system of the general linear group, which p-kernels occur in an isogeny class of p-divisible groups over an algebraically closed field of positive characteristic. As an application we obtain a criterion for the non-emptiness of certain affine Deligne-Lusztig varieties associated to the general linear group.
Cite
@article{arxiv.1508.03258,
title = {$p$-kernels occurring in an isogeny class of $p$-divisible groups},
author = {Paul Ziegler},
journal= {arXiv preprint arXiv:1508.03258},
year = {2017}
}
Comments
This is a major revision of the first version