Hilbert schemes of points via McKay correspondences
نویسنده
چکیده
This paper gives some geometric applications of the derived McKay correspondence established by T.Bridgeland, A.King and M.Reid. Let G ⊂ SL(2,C) be a finite subgroup, and X be the moduli space of G-clusters. They showed that X gives a crepant resolution of the quotient C2/G, and X is derived equivalent to Gequivariant coherent sheaves on C2. In this paper, we apply it to compare Hilbert schemes of points on X and G-invariant Hilbert schemes on C2.
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تاریخ انتشار 2005