La filtration canonique par les pentes d'un module aux q-diff\'erences et le gradu\'e associ\'e
Quantum Algebra
2007-05-23 v1
Abstract
We 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).
Keywords
Cite
@article{arxiv.math/0210430,
title = {La filtration canonique par les pentes d'un module aux q-diff\'erences et le gradu\'e associ\'e},
author = {Jacques Sauloy},
journal= {arXiv preprint arXiv:math/0210430},
year = {2007}
}
Comments
47 pages. Prepublication du Laboratoire Emile Picard n.249. See also http://picard.ups-tlse.fr