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Hamiltonian systems, symplectic flows, classical integrable systems
4
votes
1
answer
129
views
The Poisson center of a symplectic variety
Let $X$ be a symplectic (affine) variety over $\mathbb{C}$, that is, a normal variety with a non-degenerate closed (algebraic) 2-form on the smooth locus. How can we deduce that the Poisson center is …
6
votes
1
answer
127
views
Quiver variety, generically symplectic
Theorem 11.3.1 (iv) of "Noncommutative Geometry and Quiver algebras" by Crawley-Boevey, Etingof and Ginzburg claims that, for a dimension vector $\mathbf{d}\in\Sigma_0$, the quiver variety $M(Q,\mathb …