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Construction of some families of 2-dimensional crystalline representations

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Abstract.

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.

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Authors and Affiliations

  1. Department of Mathematics, One Oxford Street, Cambridge, MA 02138, USA

    Laurent Berger

  2. Department of Mathematics, University of Toronto, Toronto, ON M5S 3G3, Canada

    Hanfeng Li

  3. Department of Mathematics, McMaster University, Hamilton, ON L8S 4K1, Canada

    Hui June Zhu

Authors
  1. Laurent Berger
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  2. Hanfeng Li
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  3. Hui June Zhu
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Correspondence to Laurent Berger.

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Mathematics Subject Classification (2000): 11F80, 11F33, 11F85, 14F30

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Berger, L., Li, H. & June Zhu, H. Construction of some families of 2-dimensional crystalline representations. Math. Ann. 329, 365–377 (2004). https://doi.org/10.1007/s00208-004-0529-y

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  • DOI: https://doi.org/10.1007/s00208-004-0529-y

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