Local analytic classification of $q$-difference equations with $|q|=1$
Quantum Algebra
2008-12-01 v2 Classical Analysis and ODEs
Abstract
In this paper, we establish, under convenient diophantine assumptions, a complete analytic classification of -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.
Keywords
Cite
@article{arxiv.0802.4223,
title = {Local analytic classification of $q$-difference equations with $|q|=1$},
author = {Lucia Di Vizio},
journal= {arXiv preprint arXiv:0802.4223},
year = {2008}
}
Comments
20 pages. Final version. Improved exposition