The nilpotence conjecture in K-theory of toric varieties

Details The nilpotence conjecture in K-theory of toric varieties The nilpotence conjecture in K-theory of toric varieties

2002-09-11

arxiv.org/abs/math/0209112v3

Mathematics

K-Theory and Homology

final version, accepted for publication in Inventiones mathematicae

Scientific paper

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.

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