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arXiv · 0803.1390

Tate modules of universal p-divisible groups

Eike Lau
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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.

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Eike Lau. 2008-03-10. Tate modules of universal p-divisible groups. https://doi.org/10.1112/s0010437x09004242

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