K-theory of algebraic tori and toric varieties, by Alexander S. Merkurjev and Ivan A. Panin

It is proved that under certain conditions the group K_n(X) of a smooth projective variety X over a field F is a natural direct summand of K_n(A) for some separable F-algebra. As an application we study the K-groups of toric models and toric varieties. A presentation in terms of generators and relations of the group K_0(T) for an algebraic torus T is given.

Alexander S. Merkurjev <merkurev@mathematik.uni-bielefeld.de>
Ivan A. Panin <panin@pdmi.ras.ru>