Symplectic resolutions of the Hilbert squares of ADE surface singularities
classification
🧮 math.AG
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resolutionssingularitiessymplectichilbertsurfaceade-singularityade-typesapplication
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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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Euler numbers of Hilbert schemes of points on simple surface singularities and quantum dimensions of standard modules of quantum affine algebras
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