Construction of some families of 2-dimensional crystalline representations
Number Theory
2007-05-23 v1 Algebraic Geometry
Abstract
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.
Keywords
Cite
@article{arxiv.math/0310275,
title = {Construction of some families of 2-dimensional crystalline representations},
author = {Laurent Berger and Hanfeng Li and Hui June Zhu},
journal= {arXiv preprint arXiv:math/0310275},
year = {2007}
}
Comments
13 pages, english and french abstracts