JournalsjncgVol. 3 , No. 1DOI 10.4171/jncg/33

Local analytic classification of <var>q</var>-difference equations with |<var>q</var>| = 1

  • Lucia Di Vizio

    Institut de Mathématiques de Jussieu
Local analytic classification of <var>q</var>-difference equations with |<var>q</var>| = 1 cover

Abstract

In this article, 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–Vologodsky and by Baranovsky–Ginzburg.