Complete G-structures and Wach modules

被引:0
作者
Dorat, Lionel [1 ]
机构
[1] Univ Strasbourg 1, IRMA, F-67084 Strasbourg, France
来源
DOCUMENTA MATHEMATICA | 2007年 / 12卷
关键词
representations galoisiennes; representations cristallines; representations entieres; modules filtres; (phi; Gamma)-modules;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
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.
引用
收藏
页码:399 / 440
页数:42
相关论文
共 15 条
[1]   Limits of crystalline representations [J].
Berger, L .
COMPOSITIO MATHEMATICA, 2004, 140 (06) :1473-1498
[2]   Construction of semi-stable p-adic representations [J].
Colmez, P ;
Fontaine, JM .
INVENTIONES MATHEMATICAE, 2000, 140 (01) :1-43
[3]  
Colmez P, 1999, J REINE ANGEW MATH, V514, P119
[4]  
FONTAINE J, 1979, JOURNEES GEOMETRIE A, V3, P3
[5]  
Fontaine J.-M., 1990, PROGR MATH, V2, P249
[6]  
Fontaine J.-M., 1979, ASTERISQUE, V65, P3
[8]  
FONTAINE JM, 1982, ANN SCI ECOLE NORM S, V15, P547
[9]  
FONTAINE JM, 1994, ASTERISQUE, P113
[10]  
FONTAINE JM, 1994, ASTERISQUE, P59