Variations on the Bloch-Ogus Theorem
K-Theory and Homology
2007-05-23 v1 Algebraic Geometry
Abstract
In the present paper we discuss questions concerning the arithmetic resolution for etale cohomology. Namely, consider a smooth quasi-projective variety X over a field k together with the local scheme U at a point x. Let Y be a smooth proper scheme over U. We prove there is the Gersten-type exact sequence for etale cohomology with coefficients in a locally constant etale sheaf F of Z/nZ-modules on Y which has finite stalks and (n,char(k))=1.
Cite
@article{arxiv.math/0203128,
title = {Variations on the Bloch-Ogus Theorem},
author = {I. Panin and K. Zainoulline},
journal= {arXiv preprint arXiv:math/0203128},
year = {2007}
}
Comments
Latex 2e, XYPIC, 21 pages