The nilpotence conjecture in K-theory of toric varieties

Abstract

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

Cited by in corpus (1)

• The coefficient field in the nilpotence conjecture for toric varieties