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A derived approach to geometric McKay correspondence in dimension three
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Sabin Cautis
Published/Copyright:
October 12, 2009
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
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- ℒ-optimal transportation for Ricci flow
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- The Bass and topological stable ranks of and
- A derived approach to geometric McKay correspondence in dimension three
Articles in the same Issue
- Transition maps at non-resonant hyperbolic singularities are o-minimal
- Amenable covers, volume and L2-Betti numbers of aspherical manifolds
- ℒ-optimal transportation for Ricci flow
- Deformation theory of representations of prop(erad)s II
- The Bass and topological stable ranks of and
- A derived approach to geometric McKay correspondence in dimension three
