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

By Guillermo Cortiñas, Christian Haesemeyer, Charles A. Weibel. 2006

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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.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/4a759bc59c7f7898dbc36231314b063ffbea68dd