In this article, 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–Vologodsky and by Baranovsky–Ginzburg.
Cite this article
Lucia Di Vizio, Local analytic classification of <var>q</var>-difference equations with |<var>q</var>| = 1. J. Noncommut. Geom. 3 (2009), no. 1, pp. 125–149DOI 10.4171/JNCG/33