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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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