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This article is cited in 61 scientific papers (total in 61 papers)
The Brauer group of quotient spaces by linear group actions
F. A. Bogomolov
Abstract:
It is proved that for a smooth compactification of a quotient space of a linear space $V$ by the action of a linear algebraic group $G$, the Artin–Mumford birational invariant $\operatorname{Br}_v(V/G)=H^3(V/G,Z)_\text{tors}$ is effectively computable in terms of the 2-dimensional group cohomology $H^2(G,Q/Z)$ of $G$; examples of groups for which the invariant $\operatorname{Br}_v(V/G)$ is nontrivial are also studied.
Bibliography: 6 titles.
Received: 29.05.1985
Citation:
F. A. Bogomolov, “The Brauer group of quotient spaces by linear group actions”, Math. USSR-Izv., 30:3 (1988), 455–485
Linking options:
https://www.mathnet.ru/eng/im1306https://doi.org/10.1070/IM1988v030n03ABEH001024 https://www.mathnet.ru/eng/im/v51/i3/p485
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Abstract page: | 890 | Russian version PDF: | 336 | English version PDF: | 52 | References: | 64 | First page: | 1 |
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