Limites de représentations cristallines
Berger, Laurent
HAL, hal-00575499 / Harvested from HAL
We provide an answer to two questions of Fontaine (in the unramified case). First, we show that a limit of crystalline representations, of bounded Hodge-Tate weights, is itself crystalline. Second, we show that every admissible filtered $\phi$-module "comes from" a $(\phi,\Gamma)$-module of finite q-height.
Publié le : 2004-07-05
Classification:  [MATH.MATH-NT]Mathematics [math]/Number Theory [math.NT],  [MATH.MATH-AG]Mathematics [math]/Algebraic Geometry [math.AG]
@article{hal-00575499,
     author = {Berger, Laurent},
     title = {Limites de repr\'esentations cristallines},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {fr},
     url = {http://dml.mathdoc.fr/item/hal-00575499}
}
Berger, Laurent. Limites de représentations cristallines. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00575499/