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 Tr. Mat. Inst. Steklova, 2019, Volume 305, Pages 211–224 (Mi tm3996)

Difference Krichever–Novikov Operators of Rank 2

G. S. Mauleshovaab, A. E. Mironovab

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, pr. Akademika Koptyuga 4, Novosibirsk, 630090 Russia
b Novosibirsk State University, ul. Pirogova 1, Novosibirsk, 630090 Russia

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.

 Funding Agency Grant Number Russian Foundation for Basic Research 18-01-00411 This work was supported by the Russian Foundation for Basic Research, project no. 18-01-00411.

DOI: https://doi.org/10.4213/tm3996

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English version:
Proceedings of the Steklov Institute of Mathematics, 2019, 305, 195–208

Bibliographic databases:

UDC: 517.929.2
Revised: December 19, 2018
Accepted: March 6, 2019

Citation: G. S. Mauleshova, A. E. Mironov, “Difference Krichever–Novikov Operators of Rank 2”, Algebraic topology, combinatorics, and mathematical physics, Collected papers. Dedicated to Victor Matveevich Buchstaber, Corresponding Member of the Russian Academy of Sciences, on the occasion of his 75th birthday, Tr. Mat. Inst. Steklova, 305, Steklov Math. Inst. RAS, Moscow, 2019, 211–224; Proc. Steklov Inst. Math., 305 (2019), 195–208

Citation in format AMSBIB
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