English

G-structures enti\`{e}res et modules de Wach

Representation Theory 2007-05-23 v1 Number Theory

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.

Cite

@article{arxiv.math/0703581,
  title  = {G-structures enti\`{e}res et modules de Wach},
  author = {Lionel Dorat},
  journal= {arXiv preprint arXiv:math/0703581},
  year   = {2007}
}