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The nilpotence conjecture in K-theory of toric varieties

Joseph Gubeladze

math.KTarXiv:math/0209112

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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