Symplectic resolutions of the Hilbert squares of ADE surface singularities

Symplectic resolutions of the Hilbert squares of ADE surface singularities

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 tra...

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1. Verfasser: Yamagishi, Ryo
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Algebraic Geometry
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Zusammenfassung: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.
DOI:10.48550/arxiv.1709.05886