Email this article Commuting Differential Operators of Rank 2 with Rational Coefficients
- Authors: Oganesyan V.S.1
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Affiliations:
- Department of Mechanics and Mathematics, Lomonosov Moscow State University
- Issue: Vol 52, No 3 (2018)
- Pages: 203-213
- Section: Article
- URL: https://journals.rcsi.science/0016-2663/article/view/234503
- DOI: https://doi.org/10.1007/s10688-018-0229-0
- ID: 234503
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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.
About the authors
V. S. Oganesyan
Department of Mechanics and Mathematics, Lomonosov Moscow State University
Author for correspondence.
Email: vardan.o@mail.ru
Russian Federation, Moscow
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