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

Abstract : 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.
Document type :
Journal articles
Domain :

https://hal.archives-ouvertes.fr/hal-00350718
Contributor : Lucia Di Vizio Connect in order to contact the contributor
Submitted on : Wednesday, January 7, 2009 - 3:30:22 PM
Last modification on : Sunday, June 26, 2022 - 5:28:54 AM

### Citation

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⟩

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