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Journal für die reine und angewandte Mathematik

Managing Editor: Weissauer, Rainer

Ed. by Colding, Tobias / Huybrechts, Daniel / Hwang, Jun-Muk / Williamson, Geordie

IMPACT FACTOR 2018: 1.859

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SCImago Journal Rank (SJR) 2018: 2.554
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Mathematical Citation Quotient (MCQ) 2018: 1.55

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Volume 2006, Issue 594


Représentations semi-stables de torsion dans le cas er < p − 1

Xavier Caruso
  • Villetaneuse; Laboratoire Analyse, Géométrie et Applications, UMR 7539, Institut Galilée, Université Paris XIII, 99, av. J.B. Clément, 93430 Villetaneuse, France.
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Published Online: 2006-05-17 | DOI: https://doi.org/10.1515/CRELLE.2006.035


Let K be a local field of mixed characteristic not absolutely ramified. Fontaine-Laaille theory (see [J. M. Fontaine et G. Laffaille, Construction de représentations p-adiques, Ann. Sci. ENS 15 (1982), 547–608. ]) gives a description of the torsion crystalline ℤp representations of the absolute Galois group of K (p denotes the characteristic of the residual field). Improving the former works, Breuil introduced new modules and obtained an integer and torsion theory for the semi-stable representations (see [C. Breuil, Construction de représentations p-adiques semi-stables, Ann. Sci. ENS 31 (1997), 281–327]).

In this paper, we follow Breuil's works and adapt them to the case where the local field K can be absolutely ramified. However, we would have a limitation on the index of absolute ramification.

About the article

Received: 2004-10-28

Published Online: 2006-05-17

Published in Print: 2006-05-01

Citation Information: Journal fur die reine und angewandte Mathematik (Crelles Journal), Volume 2006, Issue 594, Pages 35–92, ISSN (Online) 1435-5345, ISSN (Print) 0075-4102, DOI: https://doi.org/10.1515/CRELLE.2006.035.

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