Multi-Hamiltonian Structures on Beauville's Integrable System and Its Variant

We study Beauville's completely integrable system and its variant from a viewpoint of multi-Hamiltonian structures. We also relate our result to the previously known Poisson structures on the Mumford system and the even Mumford system.

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Бібліографічні деталі
Опубліковано в: :Symmetry, Integrability and Geometry: Methods and Applications
Дата:2007
Автори: Inoue, R., Konishi, Y.
Формат: Стаття
Мова:English
Опубліковано: Інститут математики НАН України 2007
Онлайн доступ:https://nasplib.isofts.kiev.ua/handle/123456789/147806
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Цитувати:Multi-Hamiltonian Structures on Beauville's Integrable System and Its Variant / R. Inoue, Y. Konishi // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 12 назв. — англ.

Репозитарії

Digital Library of Periodicals of National Academy of Sciences of Ukraine
id nasplib_isofts_kiev_ua-123456789-147806
record_format dspace
spelling Inoue, R.
Konishi, Y.
2019-02-16T08:34:37Z
2019-02-16T08:34:37Z
2007
Multi-Hamiltonian Structures on Beauville's Integrable System and Its Variant / R. Inoue, Y. Konishi // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 12 назв. — англ.
1815-0659
2000 Mathematics Subject Classification: 37J35; 14H70
https://nasplib.isofts.kiev.ua/handle/123456789/147806
We study Beauville's completely integrable system and its variant from a viewpoint of multi-Hamiltonian structures. We also relate our result to the previously known Poisson structures on the Mumford system and the even Mumford system.
This paper is a contribution to the Vadim Kuznetsov Memorial Issue “Integrable Systems and Related Topics”. The authors thank Takao Yamazaki for discussion and reading the manuscript. Y.K. is a research fellow of the Japan Society for the Promotion of Science.
en
Інститут математики НАН України
Symmetry, Integrability and Geometry: Methods and Applications
Multi-Hamiltonian Structures on Beauville's Integrable System and Its Variant
Article
published earlier
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
title Multi-Hamiltonian Structures on Beauville's Integrable System and Its Variant
spellingShingle Multi-Hamiltonian Structures on Beauville's Integrable System and Its Variant
Inoue, R.
Konishi, Y.
title_short Multi-Hamiltonian Structures on Beauville's Integrable System and Its Variant
title_full Multi-Hamiltonian Structures on Beauville's Integrable System and Its Variant
title_fullStr Multi-Hamiltonian Structures on Beauville's Integrable System and Its Variant
title_full_unstemmed Multi-Hamiltonian Structures on Beauville's Integrable System and Its Variant
title_sort multi-hamiltonian structures on beauville's integrable system and its variant
author Inoue, R.
Konishi, Y.
author_facet Inoue, R.
Konishi, Y.
publishDate 2007
language English
container_title Symmetry, Integrability and Geometry: Methods and Applications
publisher Інститут математики НАН України
format Article
description We study Beauville's completely integrable system and its variant from a viewpoint of multi-Hamiltonian structures. We also relate our result to the previously known Poisson structures on the Mumford system and the even Mumford system.
issn 1815-0659
url https://nasplib.isofts.kiev.ua/handle/123456789/147806
citation_txt Multi-Hamiltonian Structures on Beauville's Integrable System and Its Variant / R. Inoue, Y. Konishi // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 12 назв. — англ.
work_keys_str_mv AT inouer multihamiltonianstructuresonbeauvillesintegrablesystemanditsvariant
AT konishiy multihamiltonianstructuresonbeauvillesintegrablesystemanditsvariant
first_indexed 2025-11-28T20:11:21Z
last_indexed 2025-11-28T20:11:21Z
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