The symplectic leaves for the elliptic Poisson bracket on projective space defined by Feigin-Odesskii and Polishchuk

Alexandru Chirvasitu, Ryo Kanda, S. Paul Smith

This paper determines the symplectic leaves for a remarkable Poisson structure on $\mathbb{C}{\mathbb{P}}^{n-1}$ discovered by Feigin and Odesskii, and, independently, by Polishchuk.…