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Journal für die reine und angewandte Mathematik

Managing Editor: Weissauer, Rainer

Ed. by Colding, Tobias / Cuntz, Joachim / Huybrechts, Daniel / Hwang, Jun-Muk

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La filtration de Harder-Narasimhan des schémas en groupes finis et plats

Laurent Fargues1

1CNRS–Université Paris-Sud Orsay, Laboratoire de mathématiques d'Orsay, bâtiment 425, université Paris-Sud, 91405 Orsay. e-mail:

Citation Information: Journal für die reine und angewandte Mathematik (Crelles Journal). Volume 2010, Issue 645, Pages 1–39, ISSN (Online) 1435-5345, ISSN (Print) 0075-4102, DOI: 10.1515/crelle.2010.058, August 2010

Publication History

Received:
2008-05-31
Revised:
2009-03-04
Published Online:
2010-08-11

Abstract

In this article we define and study a Harder-Narasimhan filtration of finite flat group schemes over an unequal characteristic valuation ring. We also study that type of filtrations for families of finite flat group schemes parametrised by formal schemes.

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