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arXiv · 0911.2752

On a conjecture of Vorst

Thomas Geisser·Lars Hesselholt
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Abstract

We prove the following result. Let k be an infinite perfect field of positive characteristic and assume that strong resolution of singularities holds over k. Let R be a localization of a commutative d-dimensional k-algebra of finite type and suppose that R is K_{d+1}-regular. Then R is a regular ring.

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Thomas Geisser, Lars Hesselholt. 2009-11-14. On a conjecture of Vorst. https://doi.org/10.1007/s00209-010-0806-2

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