2008/09/19 by Suanne Au, Au, Suanne, Mu-wan Huang +3
Mathematics · #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic Geometry and Number Theory #math.AG #math.KT #msc:14M25 #msc:19D50
paper · pdf · doi:10.48550/arxiv.0809.3378
12 pages
arxiv created 2008/09/19 · arxiv updated 2009/12/01
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.