Classification de modules aux différences filtrés isogradués

Details Classification de modules aux différences filtrés isogradués Classification de modules aux différences filtrés isogradués

2008-12-03

arxiv.org/abs/0812.0676v1

Mathematics

Quantum Algebra

15 pages, French language

Scientific paper

The local analytic classification of irregular linear q-difference equations (Ramis-Sauloy-Zhang) involves the classfication of filtered q-difference modules with a prescribed associated graded module. We prove in a more general setting the existence for this problem of a moduli scheme which is an affine space. ----- La classification analytique locale des equations aux q-differences irregulieres se ramene a la classification de modules aux q-differences filtres a gradue fixe. Nous degageons ici des hypotheses generales qui assurent l'existence d'un schema de modules pour ce probleme, qui soit de plus un espace affine.

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