Geodesic
Cech approximation to the Brown-Gersten spectral sequence
Homology, homotopy, and applications, Tome 13 (2011) no. 1, pp. 319-348.

Voir la notice de l'article provenant de la source International Press of Boston

In this paper, we show that the étale index of a torsion cohomological Brauer class is divisible by the period of the class. The tool used to make this computation is the Čech 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 $E_2$-page. As far we know, this folklore theorem has no proof in the literature, so we include a proof.
DOI : 10.4310/HHA.2011.v13.n1.a13
Classification : 14F22, 16K50, 18G40, 19D23
Keywords: homotopy spectral sequence, cosimplicial space, Brauer group, twisted sheaf 
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     language = {en},
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Benjamin Antieau. Cech approximation to the Brown-Gersten spectral sequence. Homology, homotopy, and applications, Tome 13 (2011) no. 1, pp. 319-348. doi : 10.4310/HHA.2011.v13.n1.a13. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2011.v13.n1.a13/

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