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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
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: |
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| 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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