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 language | English |
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Pages (from-to) | 195-208 |
Number of pages | 14 |
Journal | Proceedings of the Steklov Institute of Mathematics |
Volume | 305 |
Issue number | 1 |
DOIs | |
Publication status | Published - 1 May 2019 |