The Special Mckay Correspondence as an Equivalence of Derived Categories
نویسنده
چکیده
We give a new moduli construction of the minimal resolution of the singularity of type 1 r (1, a) by introducing the Special McKay quiver. To demonstrate that our construction trumps that of the G-Hilbert scheme, we show that the induced tautological line bundles freely generate the bounded derived category of coherent sheaves on X by establishing a suitable derived equivalence. This gives a moduli construction of the Special McKay correspondence for abelian subgroups of GL(2). We also formulate a precise conjecture for nonabelian groups.
منابع مشابه
The Special Mckay Correspondence as a Derived Equivalence
We give a new moduli construction of the minimal resolution of the singularity of type 1 r (1, a) by introducing the Special McKay quiver. To demonstrate that our construction trumps that of the G-Hilbert scheme, we show that the induced tautological line bundles freely generate the bounded derived category of coherent sheaves on X by establishing a suitable derived equivalence. This gives a mo...
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تاریخ انتشار 2008