Construction of Some Families of 2-dimensional Crystalline Representations
نویسندگان
چکیده
— We construct explicitly some analytic families of étale (φ,Γ)-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. Résumé. — Nous construisons explicitement des familles analytiques de (φ,Γ)-modules étales, qui donnent lieu à des familles analytiques de représentations cristallines de dimension 2. Comme application de nos constructions, nous vérifions des conjectures de Breuil quant à la réduction modulo p de ces représentations, et nous étendons des résultats (de Deligne, Edixhoven, Fontaine et Serre) sur les représentations associées aux formes modulaires.
منابع مشابه
CONSTRUCTION OF SOME FAMILIES OF 2-DIMENSIONAL CRYSTALLINE REPRESENTATIONS by
— We construct explicitly some analytic families of étale (φ,Γ)-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 ...
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