Commuting Differential Operators of Rank 3 Associated to a Curve of Genus 2

In this paper, we construct some examples of commuting differential operators L₁ and L₂ with rational coefficients of rank 3 corresponding to a curve of genus 2.

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Veröffentlicht in:Symmetry, Integrability and Geometry: Methods and Applications
Datum:2012
1. Verfasser: Zuo, D.
Format: Artikel
Sprache:Englisch
Veröffentlicht: Інститут математики НАН України 2012
Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/148457
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Zitieren:Commuting Differential Operators of Rank 3 Associated to a Curve of Genus 2 / D. Zuo // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 29 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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author Zuo, D.
author_facet Zuo, D.
citation_txt Commuting Differential Operators of Rank 3 Associated to a Curve of Genus 2 / D. Zuo // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 29 назв. — англ.
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container_title Symmetry, Integrability and Geometry: Methods and Applications
description In this paper, we construct some examples of commuting differential operators L₁ and L₂ with rational coefficients of rank 3 corresponding to a curve of genus 2.
first_indexed 2025-11-30T19:03:38Z
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institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
issn 1815-0659
language English
last_indexed 2025-11-30T19:03:38Z
publishDate 2012
publisher Інститут математики НАН України
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spelling Zuo, D.
2019-02-18T13:01:24Z
2019-02-18T13:01:24Z
2012
Commuting Differential Operators of Rank 3 Associated to a Curve of Genus 2 / D. Zuo // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 29 назв. — англ.
1815-0659
2010 Mathematics Subject Classification: 13N10; 14H45; 34L99; 37K20
DOI: http://dx.doi.org/10.3842/SIGMA.2012.044
https://nasplib.isofts.kiev.ua/handle/123456789/148457
In this paper, we construct some examples of commuting differential operators L₁ and L₂ with rational coefficients of rank 3 corresponding to a curve of genus 2.
The author is grateful to Andrey E. Mironov for bringing the attention to this project and
 helpful discussions. The author also thanks referees’ suggestions and Alex Kasman for pointing some errors in the first version of this paper, Qing Chen and Youjin Zhang for their constant supports. This work is supported by “PCSIRT” and the Fundamental Research Funds for the Central Universities (WK0010000024) and NSFC (No. 10971209) and SRF for ROCS, SEM.
en
Інститут математики НАН України
Symmetry, Integrability and Geometry: Methods and Applications
Commuting Differential Operators of Rank 3 Associated to a Curve of Genus 2
Article
published earlier
spellingShingle Commuting Differential Operators of Rank 3 Associated to a Curve of Genus 2
Zuo, D.
title Commuting Differential Operators of Rank 3 Associated to a Curve of Genus 2
title_full Commuting Differential Operators of Rank 3 Associated to a Curve of Genus 2
title_fullStr Commuting Differential Operators of Rank 3 Associated to a Curve of Genus 2
title_full_unstemmed Commuting Differential Operators of Rank 3 Associated to a Curve of Genus 2
title_short Commuting Differential Operators of Rank 3 Associated to a Curve of Genus 2
title_sort commuting differential operators of rank 3 associated to a curve of genus 2
url https://nasplib.isofts.kiev.ua/handle/123456789/148457
work_keys_str_mv AT zuod commutingdifferentialoperatorsofrank3associatedtoacurveofgenus2