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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 $x\in X$. ...

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 ...

It is known that a generalized flag variety $X=T^*(G/P)$ is a (symplectic) resolution of singularities of its affinization $X^\text{aff}\mathrel{:=}\operatorname{Spec}(H^0(X,\mathcal{O}_X))$. In type ...