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A remark on potentially semi-stable representations of Hodge-Tate type (0,1)

Abstract:
In this note we complement a part of a theorem of Fontaine-Mazur. We show that if $(V,\rho)$ is an irreducible finite dimensional representation of the Galois group $Gal({\bar K}/K)$ of a finite extension of $K\Q_p$, of Hodge-Tate type $(0,1)$ then it is potentially semi-stable if and only if it is potentially crystalline. This was proved by Fontaine-Mazur for dimension two and $p\geq 5$ by their classfication theorem.
Publication status:
Published
Peer review status:
Peer reviewed
Version:
Accepted Manuscript

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Publisher copy:
10.1007/s00209-002-0425-7

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Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Institute
Publisher:
Springer-Verlag Publisher's website
Journal:
Mathematische Zeitschrift Journal website
Volume:
241
Issue:
3
Pages:
479-483
Publication date:
2002
DOI:
EISSN:
1432-1823
ISSN:
0025-5874
URN:
uuid:09b4f130-4444-455c-9047-e8bbc5ddc920
Source identifiers:
308888
Local pid:
pubs:308888
Keywords:

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