Cech approximation to the Brown-Gersten spectral sequence

Details Cech approximation to the Brown-Gersten spectral sequence Cech approximation to the Brown-Gersten spectral sequence

2009-12-18

arxiv.org/abs/0912.3786v3

Mathematics

K-Theory and Homology

submitted

Scientific paper

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.

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