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Derived McKay correspondence via pure-sheaf transforms

Logvinenko, Timothy ORCID: 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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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: Mathematics
Subjects: Q Science > QA Mathematics
Publisher: Springer
ISSN: 0025-5831
Last Modified: 07 May 2023 09:37

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