Geodesic
Integral $G$-structures of Wach modules
Documenta mathematica, Tome 12 (2007), pp. 399-440
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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.
DOI : 10.4171/dm/229
Classification : 11F80, 11F85, 11S20, 11S23
Mots-clés : représentations galoisiennes, représentations cristallines, représentations entières, modules filtrés, (φ, gamma)−modules 
@article{10_4171_dm_229,
     author = {Lionel Dorat},
     title = {Integral $G$-structures of {Wach} modules},
     journal = {Documenta mathematica},
     pages = {399--440},
     year = {2007},
     volume = {12},
     doi = {10.4171/dm/229},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/229/}
}
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Lionel Dorat. Integral $G$-structures of Wach modules. Documenta mathematica, Tome 12 (2007), pp. 399-440. doi: 10.4171/dm/229

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