Cardiff University | Prifysgol Caerdydd ORCA
Online Research @ Cardiff 
WelshClear Cookie - decide language by browser settings

Derived Reid's recipe for abelian subgroups of SL3(ℂ)

Cautis, Sabin, Craw, Alastair and Logvinenko, Timothy ORCID: 2017. Derived Reid's recipe for abelian subgroups of SL3(ℂ). Journal für die reine und angewandte Mathematik 2017 (727) , pp. 1-48. 10.1515/crelle-2014-0086

Full text not available from this repository.


For any finite subgroup G ⊂ SL_3(C), work of Bridgeland-King-Reid constructs an equivalence between the G-equivariant derived category of C^3 and the derived category of the crepant resolution Y = G-Hilb C^3 of C^3/G. When G is abelian we show that this equivalence gives a natural correspondence between irreducible representations of G and exceptional subva- rieties of Y , thereby extending the McKay correspondence from two to three dimensions. This categorifies Reid’s recipe and extends earlier work from [CL09] and [Log10] which dealt only with the case when C^3/G has one isolated singularity.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Mathematics
Subjects: Q Science > QA Mathematics
Publisher: De Gruyter
ISSN: 1435-5345
Date of First Compliant Deposit: 30 March 2016
Date of Acceptance: 18 November 2014
Last Modified: 31 Oct 2022 11:00

Citation Data

Cited 4 times in Scopus. View in Scopus. Powered By Scopus® Data

Actions (repository staff only)

Edit Item Edit Item