Geometrical McKay Correspondence for Isolated Singularities
Differential Geometry
2007-05-23 v2 High Energy Physics - Theory
Algebraic Geometry
Abstract
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.
Cite
@article{arxiv.math/0302068,
title = {Geometrical McKay Correspondence for Isolated Singularities},
author = {Anda Degeratu},
journal= {arXiv preprint arXiv:math/0302068},
year = {2007}
}
Comments
25 pages added references; corrected typos