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.
|Number of pages||14|
|Journal||Proceedings of the Steklov Institute of Mathematics|
|Publication status||Published - 1 May 2019|