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Abstract

The work is devoted to the study of one-point commuting difference operators of rank 2. In the case of hyperelliptic spectral curves, we obtain equations equivalent to the Krichever–Novikov equations for the discrete dynamics of the Tyurin parameters. Using these equations, we construct examples of operators corresponding to hyperelliptic spectral curves of arbitrary genus.

Original languageEnglish
Pages (from-to)195-208
Number of pages14
JournalProceedings of the Steklov Institute of Mathematics
Volume305
Issue number1
DOIs
Publication statusPublished - 1 May 2019

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