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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2020, Volume 311, Pages 27–40
DOI: https://doi.org/10.4213/tm4111 (Mi tm4111) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Hitchin Systems on Hyperelliptic Curves

P. I. Borisovaab, O. K. Sheinmanc

a Faculty of Computer Science, National Research University Higher School of Economics, Pokrovskii bul. 11, Moscow, 109028 Russia
b Skolkovo Institute of Science and Technology, Bol'shoi bul. 30, str. 1, Moscow, 121205 Russia
c Steklov Mathematical Institute of Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia
Full-text PDF (245 kB) Citations (3)
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DOI: https://doi.org/10.4213/tm4111
Abstract: We describe a class of spectral curves and find explicit formulas for the Darboux coordinates of Hitchin systems corresponding to classical simple groups on hyperelliptic curves. We consider in detail the systems with rank 2 groups on genus 2 curves.
Funding agency Grant number
Russian Foundation for Basic Research 20-01-00157 А
Russian Academy of Sciences - Federal Agency for Scientific Organizations
The work of the second author was supported by the Russian Foundation for Basic Research (project no. 20-01-00157) and by the RAS Program “Nonlinear Dynamics: Fundamental Problems and Applications.”
Received: November 9, 2019
Revised: March 6, 2020
Accepted: June 1, 2020
English version:
Proceedings of the Steklov Institute of Mathematics, 2020, Volume 311, Pages 22–35
DOI: https://doi.org/10.1134/S0081543820060036
Bibliographic databases:
Document Type: Article
UDC: 514.83+514.853+517.958
Language: Russian
Citation: P. I. Borisova, O. K. Sheinman, “Hitchin Systems on Hyperelliptic Curves”, Analysis and mathematical physics, Collected papers. On the occasion of the 70th birthday of Professor Armen Glebovich Sergeev, Trudy Mat. Inst. Steklova, 311, Steklov Math. Inst., Moscow, 2020, 27–40; Proc. Steklov Inst. Math., 311 (2020), 22–35
Citation in format AMSBIB
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\by P.~I.~Borisova, O.~K.~Sheinman
\paper Hitchin Systems on Hyperelliptic Curves
\inbook Analysis and mathematical physics
\bookinfo Collected papers. On the occasion of the 70th birthday of Professor Armen Glebovich Sergeev
\serial Trudy Mat. Inst. Steklova
\yr 2020
\vol 311
\pages 27--40
\publ Steklov Math. Inst.
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm4111}
\crossref{https://doi.org/10.4213/tm4111}
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\jour Proc. Steklov Inst. Math.
\yr 2020
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\pages 22--35
\crossref{https://doi.org/10.1134/S0081543820060036}
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  • https://www.mathnet.ru/eng/tm4111
  • https://doi.org/10.4213/tm4111
  • https://www.mathnet.ru/eng/tm/v311/p27
    • This publication is cited in the following 3 articles:
    1. Russian Math. Surveys, 79:4 (2024), 683–720  mathnet  crossref  crossref  mathscinet  adsnasa  isi
    2. O. K. Sheinman, “Separation of Variables for Hitchin Systems with the Structure Group SO(4) on Genus 2 Curves”, Proc. Steklov Inst. Math., 325 (2024), 292–303  mathnet  crossref  crossref  zmath  isi
    3. Sheinman O.K., “Quantization of Integrable Systems With Spectral Parameter on a Riemann Surface”, Dokl. Math., 102:3 (2020), 524–527  crossref  mathscinet  isi
    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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    Full-text PDF :72
    References:49
    First page:11
     
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