A derived approach to geometric McKay correspondence in dimension three - Mathematics > Algebraic GeometryReport as inadecuate




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Abstract: We propose a three dimensional generalization of the geometric McKaycorrespondence described by Gonzales-Sprinberg and Verdier in dimension two. Wework it out in detail when G is abelian and C^3-G has a single isolatedsingularity. More precisely, we show that the Bridgeland-King-Reid derivedcategory equivalence induces a natural geometric correspondence betweenirreducible representations of G and subschemes of the exceptional set ofG-Hilb C^3. This correspondence appears to be related to Reid-s recipe.



Author: Sabin Cautis, Timothy Logvinenko

Source: https://arxiv.org/







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