Mathematics – Quantum Algebra
Scientific paper
2002-10-28
Mathematics
Quantum Algebra
47 pages. Prepublication du Laboratoire Emile Picard n.249. See also http://picard.ups-tlse.fr
Scientific paper
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).
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