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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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2007 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2007
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| Online Zugang: | 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 |
| Zitieren: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862609510270500864 |
|---|---|
| author | Inoue, R. Konishi, Y. |
| author_facet | Inoue, R. Konishi, Y. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
|
| first_indexed | 2025-11-28T20:11:21Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-147806 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-28T20:11:21Z |
| publishDate | 2007 |
| publisher | Інститут математики НАН України |
| 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 |
| spellingShingle | Multi-Hamiltonian Structures on Beauville's Integrable System and Its Variant Inoue, R. Konishi, Y. |
| title | 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_short | Multi-Hamiltonian Structures on Beauville's Integrable System and Its Variant |
| title_sort | multi-hamiltonian structures on beauville's integrable system and its variant |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/147806 |
| work_keys_str_mv | AT inouer multihamiltonianstructuresonbeauvillesintegrablesystemanditsvariant AT konishiy multihamiltonianstructuresonbeauvillesintegrablesystemanditsvariant |