Towards the multiplicative behavior of the K-theoretical McKay correspondence |
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Authors: | Samuel Boissière |
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Institution: | 1. Fachbereich für Mathematik, Johannes Gutenberg-Universit?t Mainz, Staudingerweg 9, 55099, Mainz, Germany
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Abstract: | When the quotient of a symplectic vector space by the action of a finite subgroup of symplectic automorphisms admits as a
crepant projective resolution of singularities the Hilbert scheme of regular orbits of Nakamura, then there is a natural isomorphism
between the Grothendieck group of this resolution and the representation ring of the group, given by the Bridgeland-King-Reid
map. However, this isomorphism is not compatible with the ring structures. For the Hilbert scheme of points on the affine
plane, we study the multiplicative behavior of this map. |
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Keywords: | 14C05 05E05 20B30 |
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