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arXiv · 0802.4223

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

Lucia Di Vizio
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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.

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BibTeXRIS

Lucia Di Vizio. 2008-08-07. Local analytic classification of $q$-difference equations with $|q|=1$. https://arxiv.org/abs/0802.4223

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