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

C. A. Weibel; C. Haesemeyer; G. Corti\~nas

arxiv: math/0605367 · v1 · pith:VJXNMENVnew · submitted 2006-05-14 · 🧮 math.KT · math.AC· math.AG

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

G. Corti\~nas , C. Haesemeyer , C. A. Weibel This is my paper

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keywords conjectureregularityvorstaffineassumingcdh-fibrantcharacteristicdimension

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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.

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

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