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The nilpotence conjecture in K-theory of toric varieties

Joseph Gubeladze
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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.

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Joseph Gubeladze. 2004-10-07. The nilpotence conjecture in K-theory of toric varieties. https://arxiv.org/abs/math/0209112

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