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A cohomological bound for the h-topology
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 123, Number 3, June 2001
- pp. 425-443
- 10.1353/ajm.2001.0016
- Article
- Additional Information
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.