The forgetful map in rational K-theory

Details The forgetful map in rational K-theory The forgetful map in rational K-theory

2007-10-05

arxiv.org/abs/0710.1253v1

Mathematics

Algebraic Geometry

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

The forgetful map in rational K-theory does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The forgetful map in rational K-theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The forgetful map in rational K-theory will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-329360