Separation of Variables and the Geometry of Jacobians

This survey examines separation of variables for algebraically integrable Hamiltonian systems whose tori are Jacobians of Riemann surfaces. For these cases there is a natural class of systems which admit separations in a nice geometric sense. This class includes many of the well-known cases.

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Veröffentlicht in:Symmetry, Integrability and Geometry: Methods and Applications
Datum:2007
1. Verfasser: Hurtubise, J.
Format: Artikel
Sprache:English
Veröffentlicht: Інститут математики НАН України 2007
Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/147792
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:Separation of Variables and the Geometry of Jacobians / J. Hurtubise // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 44 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
id nasplib_isofts_kiev_ua-123456789-147792
record_format dspace
spelling Hurtubise, J.
2019-02-16T08:12:59Z
2019-02-16T08:12:59Z
2007
Separation of Variables and the Geometry of Jacobians / J. Hurtubise // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 44 назв. — англ.
1815-0659
2000 Mathematics Subject Classification: 37J35; 70H06
https://nasplib.isofts.kiev.ua/handle/123456789/147792
This survey examines separation of variables for algebraically integrable Hamiltonian systems whose tori are Jacobians of Riemann surfaces. For these cases there is a natural class of systems which admit separations in a nice geometric sense. This class includes many of the well-known cases.
This paper is a contribution to the Vadim Kuznetsov Memorial Issue “Integrable Systems and Related Topics”.
en
Інститут математики НАН України
Symmetry, Integrability and Geometry: Methods and Applications
Separation of Variables and the Geometry of Jacobians
Article
published earlier
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
title Separation of Variables and the Geometry of Jacobians
spellingShingle Separation of Variables and the Geometry of Jacobians
Hurtubise, J.
title_short Separation of Variables and the Geometry of Jacobians
title_full Separation of Variables and the Geometry of Jacobians
title_fullStr Separation of Variables and the Geometry of Jacobians
title_full_unstemmed Separation of Variables and the Geometry of Jacobians
title_sort separation of variables and the geometry of jacobians
author Hurtubise, J.
author_facet Hurtubise, J.
publishDate 2007
language English
container_title Symmetry, Integrability and Geometry: Methods and Applications
publisher Інститут математики НАН України
format Article
description This survey examines separation of variables for algebraically integrable Hamiltonian systems whose tori are Jacobians of Riemann surfaces. For these cases there is a natural class of systems which admit separations in a nice geometric sense. This class includes many of the well-known cases.
issn 1815-0659
url https://nasplib.isofts.kiev.ua/handle/123456789/147792
citation_txt Separation of Variables and the Geometry of Jacobians / J. Hurtubise // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 44 назв. — англ.
work_keys_str_mv AT hurtubisej separationofvariablesandthegeometryofjacobians
first_indexed 2025-11-30T22:06:30Z
last_indexed 2025-11-30T22:06:30Z
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