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arXiv · 0910.2371

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

Seunghwan Chang·Fred Diamond
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Abstract

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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Seunghwan Chang, Fred Diamond. 2010-05-12. Extensions of rank one (phi, Gamma)-modules and crystalline representations. https://doi.org/10.1112/s0010437x1000504x

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