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arXiv · 1508.03258

$p$-kernels occurring in an isogeny class of $p$-divisible groups

Paul Ziegler
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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.

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Paul Ziegler. 2015-08-13. $p$-kernels occurring in an isogeny class of $p$-divisible groups. https://doi.org/10.1112/blms.12028

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