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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Rank two filtered $ (\varphi,N)$-modules with Galois descent data and coefficients


Author: Gerasimos Dousmanis
Journal: Trans. Amer. Math. Soc. 362 (2010), 3883-3910
MSC (2000): Primary 11F80
Published electronically: February 17, 2010
MathSciNet review: 2601613
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Abstract: Let $ K$ be any finite extension of $ \mathbb{Q}_{p},$ $ L$ any finite Galois extension of $ K$, and $ E$ any finite large enough coefficient field containing $ L.$ We classify two-dimensional $ L$ -semistable $ E$-representations of $ G_{K}$ by listing the isomorphism classes of rank two weakly admissible filtered $ (\varphi ,N,L/K,E)$-modules.


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Additional Information

Gerasimos Dousmanis
Affiliation: SFB 478 Geometrische Strukturen in der Mathematik, Münster Universität, Hittorfstraße 27, 48149, Münster, Deutschland
Email: makis.dousmanis@gmail.com

DOI: http://dx.doi.org/10.1090/S0002-9947-10-05100-7
PII: S 0002-9947(10)05100-7
Received by editor(s): January 11, 2009
Published electronically: February 17, 2010
Article copyright: © Copyright 2010 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.