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arXiv:0803.2990

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Title: A derived approach to geometric McKay correspondence in dimension three
Authors: Sabin Cautis, Timothy Logvinenko
Categories: math.AG Algebraic Geometry
Comments: 38 pages
MSC: 14E15; 14J10; 18E30

Abstract: We propose a three dimensional generalization of the geometric McKay correspondence described by Gonzales-Sprinberg and Verdier in dimension two. We work it out in detail in abelian case. More precisely, we show that the Bridgeland-King-Reid derived category equivalence induces a natural geometric correspondence between irreducible representations of G and subschemes of the exceptional set of G-Hilb (C^3). This correspondence appears to be related to Reid's recipe.

Owner: Timothy Logvinenko
Version 1: Thu, 20 Mar 2008 12:56:50 GMT

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