On a conjecture of Vorst
classification
🧮 math.KT
math.AG
keywords
regularassumecharacteristiccommutativeconjectured-dimensionalfieldfinite
read the original 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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