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K-regularity, cdh-fibrant Hochschild homology, and a conjecture of Vorst

G. Cortiñas·C. Haesemeyer·C. A. Weibel
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Abstract

In this paper we prove that for an affine scheme essentially of finite type over a field $F$ and of dimension $d$, $K_{d+1}$-regularity implies regularity, assuming that the characteristic of $F$ is zero. This verifies a conjecture of Vorst.

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G. Cortiñas, C. Haesemeyer, C. A. Weibel. 2006-05-14. K-regularity, cdh-fibrant Hochschild homology, and a conjecture of Vorst. https://arxiv.org/abs/math/0605367

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