Email this article Difference Krichever—Novikov Operators of Rank 2
- Authors: Mauleshova G.S.1,2, Mironov A.E.1,2
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Affiliations:
- Sobolev Institute of Mathematics
- Novosibirsk State University
- Issue: Vol 305, No 1 (2019)
- Pages: 195-208
- Section: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/175814
- DOI: https://doi.org/10.1134/S0081543819030118
- ID: 175814
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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.
About the authors
G. S. Mauleshova
Sobolev Institute of Mathematics; Novosibirsk State University
Author for correspondence.
Email: mauleshova_gs@mail.ru
Russian Federation, pr. Akademika Koptyuga 4, Novosibirsk, 630090; ul. Pirogova 1, Novosibirsk, 630090
A. E. Mironov
Sobolev Institute of Mathematics; Novosibirsk State University
Author for correspondence.
Email: mironov@math.nsc.ru
Russian Federation, pr. Akademika Koptyuga 4, Novosibirsk, 630090; ul. Pirogova 1, Novosibirsk, 630090
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