G-structures enti\`eres et modules de Wach
Abstract
In this paper, we study the tannakian properties of the Fontaine-Laffaille functor Vcris 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.
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