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arXiv · 1709.05886

Symplectic resolutions of the Hilbert squares of ADE surface singularities

Ryo Yamagishi
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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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Ryo Yamagishi. 2017-09-18. Symplectic resolutions of the Hilbert squares of ADE surface singularities. https://arxiv.org/abs/1709.05886

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