Tate modules of universal p-divisible groups
Algebraic Geometry
2019-02-20 v1
Abstract
A p-divisible group over a complete local domain determines a Galois representation on the Tate module of its generic fibre. We determine the image of this representation for the universal deformation in mixed characteristic of a bi-infinitesimal group and for the p-rank strata of the universal deformation in positive characteristic of an infinitesimal group. The method is a reduction to the known case of one-dimensional groups by a deformation argument based on properties of the stratification by Newton polygons.
Cite
@article{arxiv.0803.1390,
title = {Tate modules of universal p-divisible groups},
author = {Eike Lau},
journal= {arXiv preprint arXiv:0803.1390},
year = {2019}
}
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11 pages