On a conjecture of Vorst

Mathematics – K-Theory and Homology

Scientific paper

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Scientific paper

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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