Cech approximation to the Brown-Gersten spectral sequence
K-Theory and Homology
2011-02-08 v3 Algebraic Topology
Abstract
In this paper, we show that the etale index of a torsion cohomological Brauer class is divisible by the period of the class. The tool used to make this computation is the Cech approximation of the title. To create the approximation, we use the folklore theorem that the homotopy limit and Postnikov spectral sequences for a cosimplicial space agree beginning with the E2-page. As far we know, this folklore theorem has no proof in the literature, so we include a proof.
Cite
@article{arxiv.0912.3786,
title = {Cech approximation to the Brown-Gersten spectral sequence},
author = {Benjamin Antieau},
journal= {arXiv preprint arXiv:0912.3786},
year = {2011}
}
Comments
submitted