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A derived approach to geometric McKay correspondence in dimension three
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).
2009 (English)In: Journal für die Reine und Angewandte Mathematik, ISSN 0075-4102, E-ISSN 1435-5345, Vol. 636, 193-236 p.Article in journal (Refereed) Published
Abstract [en]

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 (C-3). This correspondence appears to be related to Reid's recipe.

Place, publisher, year, edition, pages
2009. Vol. 636, 193-236 p.
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-32157DOI: 10.1515/CRELLE.2009.086ISI: 000272797300006Scopus ID: 2-s2.0-76149102972OAI: oai:DiVA.org:kth-32157DiVA: diva2:409413
Note
QC 20110408Available from: 2011-04-08 Created: 2011-04-07 Last updated: 2017-12-11Bibliographically approved

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