English

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

R2 v1 2026-06-21T11:47:52.064Z