La filtration canonique par les pentes d'un module aux q-différences et le gradué associé

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dc.creatorSauloy, Jacques
dc.date2002-10-28
dc.date.accessioned2026-07-07T04:52:25Z
dc.date.available2026-07-07T04:52:25Z
dc.descriptionWe show that the Newton polygon of a linear q-difference equation depends only on the corresponding q-difference module. We interpret the classical results of convergent factorisation of Adams-Birkhoff-Guenther in terms of the existence of a canonical filtration. Moreover, the associated graded module has excellent functorial (resp. tensorial) properties, whence its interest for classification (resp. for Galois theory).
dc.description47 pages. Prepublication du Laboratoire Emile Picard n.249. See also http://picard.ups-tlse.fr
dc.identifierhttps://arxiv.org/abs/math/0210430
dc.identifierhttp://arxiv.org/abs/math/0210430
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65457
dc.subjectQuantum Algebra
dc.subject05A30 - 12H10 - 39A13
dc.titleLa filtration canonique par les pentes d'un module aux q-différences et le gradué associé
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