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Title: Cohomology of the G-Hilbert Scheme for 1/r(1,1,R−1)
Authors: Kędzierski, Oskar
Keywords: McKay Correspondence
Resolutions of Terminal Quotient Singularities
G-Hilbert Scheme
Issue Date: 2004
Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation: Serdica Mathematical Journal, Vol. 30, No 2-3, (2004), 293p-302p
Abstract: In this note we attempt to generalize a few statements drawn from the 3-dimensional McKay correspondence to the case of a cyclic group not in SL(3, C). We construct a smooth, discrepant resolution of the cyclic, terminal quotient singularity of type 1/r(1,1,r−1), which turns out to be isomorphic to Nakamura’s G-Hilbert scheme. Moreover we explicitly describe tautological bundles and use them to construct a dual basis to the integral cohomology on the resolution.
Description: 2000 Mathematics Subject Classification: Primary 14E15; Secondary 14C05,14L30.
ISSN: 1310-6600
Appears in Collections:Volume 30 Number 2-3

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