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Extensions of rank one (φ,Γ)-modules and crystalline representations

Published online by Cambridge University Press:  13 December 2010

Seunghwan Chang
Affiliation:
Institute of Mathematical Sciences, Ewha Womans University, Seoul 120-750, Republic of Korea (email: schang@ewha.ac.kr)
Fred Diamond
Affiliation:
Department of Mathematics, King’s College London, Strand, London WC2R 2LS, UK (email: Fred.Diamond@kcl.ac.uk)
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Abstract

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Let K be a finite unramified extension of Qp. We parametrize the (φ,Γ)-modules corresponding to reducible two-dimensional -representations of GK and characterize those which have reducible crystalline lifts with certain Hodge–Tate weights.

MSC classification

Type
Research Article
Copyright
Copyright © Foundation Compositio Mathematica 2010

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