Construction of some families of 2-dimensional crystalline representations
Berger, Laurent ; Li, Hanfeng ; Zhu, Hui June
HAL, hal-00575495 / Harvested from HAL
Text on HAL
We construct explicitly some analytic families of etale (phi,Gamma)-modules, which give rise to analytic families of 2-dimensional crystalline representations. As an application of our constructions, we verify some conjectures of Breuil on the reduction modulo p of those representations, and extend some results (of Deligne, Edixhoven, Fontaine and Serre) on the representations arising from modular forms.
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-00575495,
     author = {Berger, Laurent and Li, Hanfeng and Zhu, Hui June},
     title = {Construction of some families of 2-dimensional crystalline representations},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00575495}
}

Berger, Laurent; Li, Hanfeng; Zhu, Hui June. Construction of some families of 2-dimensional crystalline representations. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00575495/