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Funktsional'nyi Analiz i ego Prilozheniya, 2018, Volume 52, Issue 3, Pages 53–65
DOI: https://doi.org/10.4213/faa3521 (Mi faa3521) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Commuting Differential Operators of Rank 2 with Rational Coefficients

V. S. Oganesyan

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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DOI: https://doi.org/10.4213/faa3521
Abstract: In this paper we find new pairs of self-adjoint commuting differential operators of rank 2 with rational coefficients and prove that any curve of genus 2 written as a hyperelliptic curve is the spectral curve of a pair of commuting differential operators with rational coefficients. We also study the case where curves of genus 3 are the spectral curves of pairs of commuting differential operators of rank 2 with rational coefficients.
Keywords: integrable systems, commuting differential operators, Weyl algebra, spectral curve.
Funding agency Grant number
Russian Science Foundation 16-11-10260
Received: 04.09.2017
English version:
Functional Analysis and Its Applications, 2018, Volume 52, Issue 3, Pages 203–213
DOI: https://doi.org/10.1007/s10688-018-0229-0
Bibliographic databases:
Document Type: Article
UDC: 517.926+512.77
Language: Russian
Citation: V. S. Oganesyan, “Commuting Differential Operators of Rank 2 with Rational Coefficients”, Funktsional. Anal. i Prilozhen., 52:3 (2018), 53–65; Funct. Anal. Appl., 52:3 (2018), 203–213
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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