On the deformation of a Barsotti-Tate group over a curve
Algebraic Geometry
2013-03-13 v1
Abstract
In this paper, we study deformations of pairs (C,G) where G is a height 2 BT(or BT_n) group over a complete curve on algebraically closed field k of characteristic p. We prove that, if the curve C is a versal deformation of G, then there exists a unique lifting of the pair to the Witt ring W. We apply this result in the case of Shimura curves to obtain a lifting criterion.
Cite
@article{arxiv.1303.2954,
title = {On the deformation of a Barsotti-Tate group over a curve},
author = {Jie Xia},
journal= {arXiv preprint arXiv:1303.2954},
year = {2013}
}
Comments
20 pages, no figures. Comments welcome