%0 Journal Article
%T Local analytic classification of $q$-difference equations with $|q|=1$
%A Lucia Di Vizio
%J Mathematics
%D 2008
%I arXiv
%X 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.
%U http://arxiv.org/abs/0802.4223v2