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

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

2006-05-14

arxiv.org/abs/math/0605367v1

J. Amer. Math. Soc. 21 (2008)

Mathematics

K-Theory and Homology

Scientific paper

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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