The forgetful map in rational K-theory
| dc.creator | Graham, William | |
| dc.date | 2007-10-05 | |
| dc.date.accessioned | 2026-07-07T08:34:26Z | |
| dc.date.available | 2026-07-07T08:34:26Z | |
| dc.description | Let G be a connected reductive algebraic group acting on a scheme X. Let R(G) denote the representation ring of G, and let I be the ideal in R(G) of virtual representations of rank 0. Let G(X) (resp. G(G,X)) denote the Grothendieck group of coherent sheaves (resp. G-equivariant coherent sheaves) on X. Merkurjev proved that if the fundamental group of G is torsion-free, then the map of G(G,X)/IG(G,X) to G(X) is an isomorphism. Although this map need not be an isomorphism if the fundamental group of G has torsion, we prove that without the assumption on the fundamental group of G, this map is an isomorphism after tensoring with the rational numbers. | |
| dc.identifier | https://arxiv.org/abs/0710.1253 | |
| dc.identifier | http://arxiv.org/abs/0710.1253 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/139434 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | K-Theory and Homology | |
| dc.title | The forgetful map in rational K-theory | |
| dc.type | text |