A derived approach to geometric McKay correspondence in dimension three

Cautis, Sabin and Logvinenko, Timothy ORCID: https://orcid.org/0000-0001-5279-6977 2009. A derived approach to geometric McKay correspondence in dimension three. Journal für die reine und angewandte Mathematik (Crelles Journal) 2009 (636) , pp. 193-236. 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:	Article
Date Type:	Publication
Status:	Published
Schools:	Schools > Mathematics
Subjects:	Q Science > QA Mathematics
Publisher:	Walter de Gruyter
ISSN:	0075-4102
Date of First Compliant Deposit:	30 March 2016
Last Modified:	07 May 2023 16:31
URI:	https://orca.cardiff.ac.uk/id/eprint/45321

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