On the McKay correspondences for the Hilbert scheme of points on the affine plane
Algebraic Geometry
2007-05-23 v1
Abstract
The quotient of a finite-dimensional vector space by the action of a finite subgroup of automorphisms is usually a singular variety. Under appropriate assumptions, the McKay correspondence relates the geometry of nice resolutions of singularities and the representations of the group. For the Hilbert scheme of points on the affine plane, we study how different correspondences (McKay, dual McKay and multiplicative McKay) are related to each other.
Keywords
Cite
@article{arxiv.math/0410281,
title = {On the McKay correspondences for the Hilbert scheme of points on the affine plane},
author = {Samuel Boissiere},
journal= {arXiv preprint arXiv:math/0410281},
year = {2007}
}
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15 pages