Work

Tate modules of universal p -divisible groups

Year: 2009
Type: article
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.
Author: Eike Lau
Language: English
Open Access status: bronze
OpenAlex ID: W1982225834
FWCI: 1.199
Cites: 14
Cited by: 6
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