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Comptes Rendus Mathématique
Volume 349, n° 19-20
pages 1037-1039 (novembre 2011)
Doi : 10.1016/j.crma.2011.09.002
Received : 19 April 2011 ;  accepted : 6 September 2011
Classification analytique et théorie de Galois locales des modules aux q -différences à pentes non entières
Local analytic classification and local Galois theory of q -difference modules with non integral slopes
 

Virginie Bugeaud
Université Paul-Sabatier, institut de mathématiques de Toulouse, 118, route de Narbonne, F31062 Toulouse cedex 9, France 

Résumé

Van der Put et Reversat ont décrit la forme dʼun module aux q -différences pur à pente non entière. Nous en déduisons des descriptions matricielles explicites des classes analytiques isoformelles et du groupe de Galois formel des modules aux q -différences purs dont les pentes ne sont pas supposées entières.

The full text of this article is available in PDF format.
Abstract

Van der Put and Reversat described the form of a pure q -difference module with non integral slopes. We deduce from this explicit matricial descriptions of the isoformal analytic classes and of the Galois group of pure q -difference modules with non integral slopes.

The full text of this article is available in PDF format.


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