• Corpus ID: 123446806

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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