Abstract

We show that if X is a d-dimensional noetherian scheme such that the residue field of X at every point has strict étale cohomological dimension ≤ e, then the cohomology groups in Voevodsky's h-topology Hn(X, F) are zero for n > d + e and any h-sheaf F.

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Additional Information

ISSN
1080-6377
Print ISSN
0002-9327
Pages
pp. 425-443
Launched on MUSE
2001-06-01
Open Access
No
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