Geodesic
$G$-structures entières et modules de Wach
Documenta mathematica, Tome 12 (2007), pp. 399-440.

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Summary: In this paper, we study the tannakian properties of the Fontaine-Laffaille functor $\mathop{\bf V_{cris}}$ 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.
Classification : 11F80, 11F85, 11S20, 11S23
Keywords: représentations galoisiennes, représentations cristallines, représentations entières, modules filtrés, $(\phi$, gamma)$-modules$ 
@article{DOCMA_2007__12__a9,
     author = {Dorat, Lionel},
     title = {$G$-structures enti\`eres et modules de {Wach}},
     journal = {Documenta mathematica},
     pages = {399--440},
     publisher = {mathdoc},
     volume = {12},
     year = {2007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DOCMA_2007__12__a9/}
}
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Dorat, Lionel. $G$-structures entières et modules de Wach. Documenta mathematica, Tome 12 (2007), pp. 399-440. http://geodesic.mathdoc.fr/item/DOCMA_2007__12__a9/