Compatible Poisson Brackets Associated with Elliptic Curves in (2,5)
We prove that a pair of Feigin-Odesskii Poisson brackets on ℙ⁴ associated with elliptic curves given as linear sections of the Grassmannian (2,5) are compatible if and only if this pair of elliptic curves is contained in a del Pezzo surface obtained as a linear section of (2,5).
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2024 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2024
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/212158 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Compatible Poisson Brackets Associated with Elliptic Curves in (2,5). Nikita Markarian and Alexander Polishchuk. SIGMA 20 (2024), 037, 19 pages |