RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Trudy MIAN:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


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

Full text: PDF file (219 kB)
First page: PDF file
References: PDF file   HTML file

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

Bibliographic databases:

UDC: 517.929.2
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, 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
\Bibitem{MauMir19}
\by G.~S.~Mauleshova, A.~E.~Mironov
\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 Tr. Mat. Inst. Steklova
\yr 2019
\vol 305
\pages 211--224
\publ Steklov Math. Inst. RAS
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm3996}
\crossref{https://doi.org/10.4213/tm3996}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2019
\vol 305
\pages 195--208
\crossref{https://doi.org/10.1134/S0081543819030118}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000491421700011}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85073460884}


Linking options:
  • http://mi.mathnet.ru/eng/tm3996
  • https://doi.org/10.4213/tm3996
  • http://mi.mathnet.ru/eng/tm/v305/p211

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles
  • Труды Математического института им. В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
    Number of views:
    This page:83
    References:2
    First page:6

     
    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2019