Exceptional pairs on del Pezzo surfaces and spaces of compatible
Feigin-Odesskii brackets
Exceptional pairs on del Pezzo surfaces and spaces of compatible
Feigin-Odesskii brackets
We prove that for every relatively prime pair of integers $(d,r)$ with $r>0$, there exists an exceptional pair $({\mathcal O},V)$ on any del Pezzo surface of degree 4, such that $V$ is a bundle of rank $r$ and degree $d$. As an application, we prove that every Feigin-Odesskii Poisson bracket …