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2011 Cech approximation to the Brown-Gersten spectral sequence
Benjamin Antieau
Homology Homotopy Appl. 13(1): 319-348 (2011).

Abstract

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.

Citation

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Benjamin Antieau. "Cech approximation to the Brown-Gersten spectral sequence." Homology Homotopy Appl. 13 (1) 319 - 348, 2011.

Information

Published: 2011
First available in Project Euclid: 29 July 2011

zbMATH: 1244.14013
MathSciNet: MR2803877

Subjects:
Primary: 14F22 , 16K50 , 18G40 , 19D23

Keywords: Brauer group , cosimplicial space , Homotopy spectral sequence , twisted sheaf

Rights: Copyright © 2011 International Press of Boston

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