The nilpotence conjecture in K-theory of toric varieties
Abstract
Description
It is shown that all nontrivial elements in higher $K$-groups of toric varieties over a class of regular rings are annihilated by iterations of the natural Frobenius type endomorphisms. This is a higher analog of the triviality of vector bundles on affine toric varieties.
final version, accepted for publication in Inventiones mathematicae
final version, accepted for publication in Inventiones mathematicae