no. 13-14
Number Theory
On a theorem of Kisin
[Sur un théorème de Kisin]

Présenté par : Jean-Marc Fontaine

Beilinson, Alexander1 ; Tavares Ribeiro, Floric2
1 Department of Mathematics, University of Chicago, Chicago, IL 60637, USA
2 Normandie Université, LMNO, CNRS UMR 6139, 14032 Caen, France
Comptes Rendus. Mathématique, Tome 351 (2013) no. 13-14, pp. 505-506.

Dans cette note, on donne une preuve courte dʼun théorème de Kisin sur les représentations cristallines.

This note provides a short proof of a theorem of Kisin on crystalline representations.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2013.04.002
Beilinson, Alexander 1 ; Tavares Ribeiro, Floric 2

1 Department of Mathematics, University of Chicago, Chicago, IL 60637, USA
2 Normandie Université, LMNO, CNRS UMR 6139, 14032 Caen, France 
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Beilinson, Alexander; Tavares Ribeiro, Floric. On a theorem of Kisin. Comptes Rendus. Mathématique, Tome 351 (2013) no. 13-14, pp. 505-506. doi : 10.1016/j.crma.2013.04.002. http://www.numdam.org/articles/10.1016/j.crma.2013.04.002/

[1] Breuil, Christophe Une application de corps des normes, Compos. Math., Volume 117 (1999) no. 2, pp. 189-203

[2] Fontaine, Jean-Marc Le corps des périodes p-adiques, Bures-sur-Yvette, France, 1988 (Astérisque), Volume 223 (1994), pp. 59-111 (with an appendix by Pierre Colmez)

[3] Fontaine, Jean-Marc Représentations p-adiques semi-stables, Bures-sur-Yvette, France, 1988 (Astérisque), Volume 223 (1994), pp. 113-184

[4] Kisin, Mark Crystalline representations and F-crystals, Algebraic Geometry and Number Theory, Progr. Math., vol. 253, Birkhäuser Boston, Boston, MA, 2006, pp. 459-496

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