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

dc.creatorDi Vizio, Lucia
dc.date2008-02-28
dc.date2008-08-07
dc.date.accessioned2026-07-07T12:05:42Z
dc.date.available2026-07-07T12:05:42Z
dc.descriptionIn 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.
dc.description20 pages. Final version. Improved exposition
dc.identifierhttps://arxiv.org/abs/0802.4223
dc.identifierhttp://arxiv.org/abs/0802.4223
dc.identifierJ. Noncommut. Geom. 3(2009), 1, 125--149
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/208446
dc.subjectQuantum Algebra
dc.subjectClassical Analysis and ODEs
dc.subject39A13, 33E99
dc.titleLocal analytic classification of $q$-difference equations with $|q|=1$
dc.typetext

Files

Collections