Compatible Poisson Brackets Associated with Elliptic Curves in $G(2,5)$
Algebraic Geometry
2024-05-08 v3
Abstract
We prove that a pair of Feigin-Odesskii Poisson brackets on associated with elliptic curves given as linear sections of the Grassmannian are compatible if and only if this pair of elliptic curves is contained in a del Pezzo surface obtained as a linear section of .
Cite
@article{arxiv.2310.18759,
title = {Compatible Poisson Brackets Associated with Elliptic Curves in $G(2,5)$},
author = {Nikita Markarian and Alexander Polishchuk},
journal= {arXiv preprint arXiv:2310.18759},
year = {2024}
}