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It is a standard fact that a smooth Nakajima quiver variety / hypertoric variety $X$ has the following properties: It is holomorphic symplectic $(X,\omega)$, in fact 1'. hyperkahler It has a ...

Let $X$ be a symplectic variety with terminal singularities of dimension $2n$, $\sigma\in H^0(X^{reg},\Omega^2_{X^{reg}})$ a holomorphic symplectic form. Pick a neighborhood $U$ of a point $x\in X$. ...