Towards the multiplicative behavior of the K-theoretical McKay correspondence

dc.creatorBoissiere, Samuel
dc.date2005-01-24
dc.date2005-05-01
dc.date.accessioned2026-07-07T05:16:20Z
dc.date.available2026-07-07T05:16:20Z
dc.descriptionWhen 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.
dc.description19 pages; to appear in Mathematische Zeitschrift
dc.identifierhttps://arxiv.org/abs/math/0501407
dc.identifierhttp://arxiv.org/abs/math/0501407
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73948
dc.subjectAlgebraic Geometry
dc.subject14C05
dc.titleTowards the multiplicative behavior of the K-theoretical McKay correspondence
dc.typetext

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