G-structures entières et modules de Wach
arXiv:math/0703581
Abstract
In this paper, we study the tannakian properties of the Fontaine-Laffaille functor V_cris thanks to the theory of Wach's modules. We construct a point of the torsor linking cristalline representations and weakly admissible filtered modules, preserving the lattices in the sens of the Fontaine-Laffaille correspondance.