Journal article

### 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

### Access Document

Files:
• (Accepted manuscript, pdf, 82.3KB)
Publisher copy:
10.1007/s00209-002-0425-7

### Authors

More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
Publisher:
Springer-Verlag Publisher's website
Journal:
Mathematische Zeitschrift Journal website
Volume:
241
Issue:
3
Pages:
479-483
Publication date:
2002-01-01
DOI:
EISSN:
1432-1823
ISSN:
0025-5874
Source identifiers:
308888
Keywords:
Pubs id:
pubs:308888
UUID:
uuid:09b4f130-4444-455c-9047-e8bbc5ddc920
Local pid:
pubs:308888
Deposit date:
2012-12-19