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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2019, Volume 305, Pages 211–224
DOI: https://doi.org/10.4213/tm3996 (Mi tm3996) 		 
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
Full-text PDF (219 kB) Citations (2)
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DOI: https://doi.org/10.4213/tm3996
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.
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.
Received: October 26, 2018
Revised: December 19, 2018
Accepted: March 6, 2019
English version:
Proceedings of the Steklov Institute of Mathematics, 2019, Volume 305, Pages 195–208
DOI: https://doi.org/10.1134/S0081543819030118
Bibliographic databases:
Document Type: Article
UDC: 517.929.2
Language: Russian
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
Citation in format AMSBIB
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\paper Difference Krichever--Novikov Operators of Rank~2
\inbook Algebraic topology, combinatorics, and mathematical physics
\bookinfo Collected papers. Dedicated to Victor Matveevich Buchstaber, Corresponding Member of the Russian Academy of Sciences, on the occasion of his 75th birthday
\serial Trudy Mat. Inst. Steklova
\yr 2019
\vol 305
\pages 211--224
\publ Steklov Math. Inst. RAS
\publaddr Moscow
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    • This publication is cited in the following 2 articles:
    1. Alexander B. Zheglov, “The Schur–Sato Theory for Quasi-elliptic Rings”, Proc. Steklov Inst. Math., 320 (2023), 115–160  mathnet  crossref  crossref  mathscinet
    2. Gulnara S. Mauleshova, Andrey E. Mironov, “Discretization of Commuting Ordinary Differential Operators of Rank 2 in the Case of Elliptic Spectral Curves”, Proc. Steklov Inst. Math., 310 (2020), 202–213  mathnet  crossref  crossref  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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