Construction of some families of 2-dimensional crystalline representations

Details Construction of some families of 2-dimensional crystalline representations Construction of some families of 2-dimensional crystalline representations

2003-10-17

arxiv.org/abs/math/0310275v1

Mathematische Annalen 329 (2004), no.2, 365-377.

Mathematics

Number Theory

13 pages, english and french abstracts

Scientific paper

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.

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