G-structures entières et modules de Wach

Details G-structures entières et modules de Wach G-structures entières et modules de Wach

2007-03-20

arxiv.org/abs/math/0703581v1

Mathematics

Representation Theory

Scientific paper

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.

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