Let K be a local field of mixed characteristic not absolutely ramified. Fontaine-Laffaille theory gives a description of the torsion crystalline Z_p-representations of the absolute Galois group of K (p denotes the characteristic of the residual field). Improving the former works, Breuil introduced new modules and obtained an integer and torsion thoery for the semi-stable representations. In this paper, we follow Breuil's works and adapt them to the case where the local field $K$ can be absolutely ramified. However, we would have a limitation on the index of absolute ramification.
Publié le : 2004-10-24
Classification:
Représentations semi-stables,
Représentations p-adiques,
Inertie modérée,
11S23 ; 14G20,
[MATH.MATH-NT]Mathematics [math]/Number Theory [math.NT],
[MATH.MATH-RT]Mathematics [math]/Representation Theory [math.RT]
@article{hal-00002219,
author = {Caruso, Xavier},
title = {Repr\'esentations semi-stables de torsion dans le cas peu ramifi\'e},
journal = {HAL},
volume = {2004},
number = {0},
year = {2004},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-00002219}
}
Caruso, Xavier. Représentations semi-stables de torsion dans le cas peu ramifié. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00002219/