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Licensed Unlicensed Requires Authentication Published by De Gruyter October 12, 2009

A derived approach to geometric McKay correspondence in dimension three

  • Sabin Cautis and Timothy Logvinenko
From the journal


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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