Compatible Poisson Brackets Associated with Elliptic Curves in G(2,5)
Abstract
We prove that a pair of Feigin-Odesskii Poisson brackets on P4 associated with elliptic curves given as linear sections of the Grassmannian G(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 G(2,5).
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