Construction of some families of 2-dimensional crystalline representations

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...

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Bibliographic Details
Published inMathematische annalen Vol. 329; no. 2; pp. 365 - 377
Main Authors Berger, Laurent, Li, Hanfeng, June Zhu, Hui
Format Journal Article
LanguageEnglish
Published Springer Verlag 01.06.2004
Subjects
Algebraic Geometry
Mathematics
Number Theory
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Summary: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.
ISSN:0025-5831
1432-1807
DOI:10.1007/s00208-004-0529-y