Classification de modules aux diff\'erences filtr\'es isogradu\'es
Quantum Algebra
2008-12-04 v1
Abstract
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.
Cite
@article{arxiv.0812.0676,
title = {Classification de modules aux diff\'erences filtr\'es isogradu\'es},
author = {Jacques Sauloy},
journal= {arXiv preprint arXiv:0812.0676},
year = {2008}
}
Comments
15 pages, French language