![[arxiv]](/images/buttons/arxiv.png)
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