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
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(Preview, Accepted manuscript, pdf, 82.3KB, Terms of use)
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- Publisher copy:
- 10.1007/s00209-002-0425-7
Authors
- Publisher:
- Springer-Verlag
- Journal:
- Mathematische Zeitschrift More from this journal
- Volume:
- 241
- Issue:
- 3
- Pages:
- 479-483
- Publication date:
- 2002-01-01
- DOI:
- EISSN:
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1432-1823
- ISSN:
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0025-5874
Terms of use
- Copyright holder:
- Springer-Verlag
- Copyright date:
- 2002
- Notes:
- Copyright © 2002 Springer-Verlag. The final publication is available at Springer via http://dx.doi.org/10.1007/s00209-002-0425-7
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