Dihedral groups and G-Hilbert schemes
@inproceedings{Celis2008DihedralGA, title={Dihedral groups and G-Hilbert schemes}, author={{\'A}lvaro Nolla de Celis}, year={2008} }
Let G ⊂ GL(2,C) be a finite subgroup acting on the complex plane C2, and consider the following diagram
C2 -> X <- π:Y
where π is the minimal resolution of singularities. Since Du Val in the 1930s the explicit calculation of Y was made from X by blowing up the singularity at the origin, where we lose any information about the group G in the process. But, is there a direct relation between the resolution Y and the group G?
McKay [McK80] in the late 1970s was the first to realise the link…
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