Derived McKay correspondence via pure-sheaf transforms

Logvinenko, Timothy ORCID: https://orcid.org/0000-0001-5279-6977 2008. Derived McKay correspondence via pure-sheaf transforms. Mathematische Annalen 341 (1) , pp. 137-167. 10.1007/s00208-007-0186-z

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Abstract

In most cases where it has been shown to exist the derived McKay correspondence can be written as a Fourier–Mukai transform which sends point sheaves of the crepant resolution Y to pure sheaves in TeX . We give a sufficient condition for TeX to be the defining object of such a transform. We use it to construct the first example of the derived McKay correspondence for a non-projective crepant resolution of TeX . Along the way we extract more geometrical meaning out of the Intersection Theorem and learn to compute θ-stable families of G-constellations and their direct transforms.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Schools > Mathematics
Subjects:	Q Science > QA Mathematics
Publisher:	Springer
ISSN:	0025-5831
Last Modified:	07 May 2023 09:37
URI:	https://orca.cardiff.ac.uk/id/eprint/45320

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