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arxiv: math/0209112 · v3 · submitted 2002-09-11 · 🧮 math.KT · math.AG

The nilpotence conjecture in K-theory of toric varieties

classification 🧮 math.KT math.AG
keywords toricvarietieshigheraffineanalogannihilatedbundlesclass
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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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