Geometrical McKay Correspondence for Isolated Singularities

Details Geometrical McKay Correspondence for Isolated Singularities Geometrical McKay Correspondence for Isolated Singularities

2003-02-06

arxiv.org/abs/math/0302068v2

Mathematics

Differential Geometry

25 pages added references; corrected typos

Scientific paper

A Calabi-Yau orbifold is locally modeled on C^n/G where G is a finite
subgroup of SL(n, C). In dimension n=3 a crepant resolution is given by
Nakamura's G-Hilbert scheme. This crepant resolution has a description as a
GIT/symplectic quotient. We use tools from global analysis to give a
geometrical generalization of the McKay Correspondence to this case.

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