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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 


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.

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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