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G-structures entières et modules de Wach

Lionel Dorat
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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.

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Lionel Dorat. 2007-03-20. G-structures entières et modules de Wach. https://arxiv.org/abs/math/0703581

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