Construction of some families of 2-dimensional crystalline representations

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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.
13 pages, english and french abstracts

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Number Theory, Algebraic Geometry, 11F80, 11F33, 11F85, 14F30

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http://salesiana.dossiersoluciones.com/handle/123456789/68898

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0310275
 http://arxiv.org/abs/math/0310275
 Mathematische Annalen 329 (2004), no.2, 365-377.

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arXiv