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

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

2004-10-11

arxiv.org/abs/math/0410281v1

Mathematics

Algebraic Geometry

15 pages

Scientific paper

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.

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