Symplectic resolutions of the Hilbert squares of ADE surface singularities
Algebraic Geometry
2018-03-28 v4
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.
Keywords
Cite
@article{arxiv.1709.05886,
title = {Symplectic resolutions of the Hilbert squares of ADE surface singularities},
author = {Ryo Yamagishi},
journal= {arXiv preprint arXiv:1709.05886},
year = {2018}
}
Comments
v4: 36 pages, minor revision