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This article is cited in 2 scientific papers (total in 2 papers)
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.
Keywords:
commuting difference operators.
Received: October 26, 2018 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, Trudy Mat. Inst. Steklova, 305, Steklov Math. Inst. RAS, Moscow, 2019, 211–224; Proc. Steklov Inst. Math., 305 (2019), 195–208
Linking options:
https://www.mathnet.ru/eng/tm3996https://doi.org/10.4213/tm3996 https://www.mathnet.ru/eng/tm/v305/p211
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