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

Cortiñas, G.; Haesemeyer, C.; Weibel, C.

doi:10.1090/S0894-0347-07-00571-1

$K$-regularity, $cdh$-fibrant Hochschild homology, and a conjecture of Vorst
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by G. Cortiñas, C. Haesemeyer and C. Weibel PDF

J. Amer. Math. Soc. 21 (2008), 547-561 Request permission

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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