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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
. This correspondence appears to be related to Reid's recipe.
Received: 2008-04-01
Revised: 2008-06-29
Published Online: 2009-10-12
Published in Print: 2009-November
© Walter de Gruyter Berlin · New York 2009
