Extensions of rank one (phi, Gamma)-modules and crystalline representations

Details Extensions of rank one (phi, Gamma)-modules and crystalline representations Extensions of rank one (phi, Gamma)-modules and crystalline representations

2009-10-13

arxiv.org/abs/0910.2371v2

Mathematics

Number Theory

Final version. To Appear in Compositio Math

Scientific paper

Let K be a finite unramified extension of Q_p. We parametrize the (phi,
Gamma)-modules corresponding to reducible two-dimensional mod p representations
of G_K and characterize those which have reducible crystalline lifts with
certain Hodge-Tate weights.

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