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A derived approach to geometric McKay correspondence in dimension three

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Cautis, Sabin and Logvinenko, Timothy (2009) A derived approach to geometric McKay correspondence in dimension three. Journal für die reine und angewandte Mathematik (Crelles Journal), Vol.2009 (No.636). pp. 193-236. doi:10.1515/CRELLE.2009.086

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Official URL: http://dx.doi.org/10.1515/CRELLE.2009.086

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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.

Item Type: Journal Article
Divisions: Faculty of Science > Mathematics
Journal or Publication Title: Journal für die reine und angewandte Mathematik (Crelles Journal)
Publisher: Walter de Gruyter GmbH & Co. KG
ISSN: 0075-4102
Official Date: 2009
Dates:
DateEvent
2009Published
Volume: Vol.2009
Number: No.636
Page Range: pp. 193-236
DOI: 10.1515/CRELLE.2009.086
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access

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