%0 Journal Article
%T Vari¨¦t¨¦s de Kisin stratifi¨¦es et d¨¦formations potentiellement Barsotti-Tate
%A Xavier Caruso
%A Agn¨¨s David
%A Ariane M¨¦zard
%J Mathematics
%D 2015
%I arXiv
%X Let F be a unramified finite extension of Qp and rhobar be an irreducible mod p two-dimensional representation of the absolute Galois group of F. The aim of this article is the explicit computation of the Kisin variety parameterizing the Breuil-Kisin modules associated to certain families of potentially Barsotti-Tate deformations of rhobar. We prove that this variety is a finite union of products of P^1. Moreover, it appears as an explicit closed subvariety of P^1^[F:\Qp]. We define a stratification of the Kisin variety by locally closed subschemes and explain how the Kisin variety equipped with its stratification may help in determining the ring of Barsotti-Tate deformations of rhobar.
%U http://arxiv.org/abs/1506.08401v1