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Symplectic resolutions of the Hilbert squares of ADE surface singularities (1709.05886v4)
Published 18 Sep 2017 in math.AG
Abstract: We study symplectic resolutions of the Hilbert scheme of two points on a surface with one ADE-singularity. We also characterize such singularities by central fibers of their symplectic resolutions. As an application, we show that these singularities are isomorphic to the Slodowy slices which are transversal to the `sub-subregular' orbits in the nilpotent cones of ADE-types.
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