On the deformation of a Barsotti-Tate group over a curve
Xia, Jie
Original · EN
In this paper, we study deformations of pairs (C,G) where G is a height 2 BT(or BTₙ) 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.
English translation
This paper has no Arabic translation yet. Be the first: it takes a few seconds, and the result is stored for every future reader.