The equivariant K-theory of toric varieties

Details The equivariant K-theory of toric varieties The equivariant K-theory of toric varieties

2008-09-19

arxiv.org/abs/0809.3378v1

Mathematics

K-Theory and Homology

12 pages

Scientific paper

This paper contains two results concerning the equivariant K-theory of toric varieties. The first is a formula for the equivariant K-groups of an arbitrary affine toric variety, generalizing the known formula for smooth ones. In fact, this result is established in a more general context, involving the K-theory of graded projective modules. The second result is a new proof of a theorem due to Vezzosi and Vistoli concerning the equivariant K-theory of smooth (not necessarily affine) toric varieties.

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