Local analytic classification of $q$-difference equations with $|q|=1$ - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Journal of Noncommutative Geometry Année : 2009

Local analytic classification of $q$-difference equations with $|q|=1$

Lucia Di Vizio

Résumé

In this paper, we establish, under convenient diophantine assumptions, a complete analytic classification of $q$-difference modules over the field of germs of meromorphic functions at zero, proving some analytic analogs of the results by Soibelman and Vologodsky, cf. math.AG/0205117, and by Baranovsky and Ginzburg, cf. alg-geom/9607008.

Dates et versions

hal-00350718 , version 1 (07-01-2009)

Identifiants

Citer

Lucia Di Vizio. Local analytic classification of $q$-difference equations with $|q|=1$. Journal of Noncommutative Geometry, 2009, 3 (1), pp.125-149. ⟨10.4171/JNCG/33⟩. ⟨hal-00350718⟩
46 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More