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arXiv:math/0410281 [math.AG]AbstractReferencesReviewsResources

On the McKay correspondences for the Hilbert scheme of points on the affine plane

Samuel Boissiere

Published 2004-10-11Version 1

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.

Comments: 15 pages
Categories: math.AG
Subjects: 14C05
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