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Mathematics of the USSR-Izvestiya, 1988, Volume 30, Issue 3, Pages 455–485
DOI: https://doi.org/10.1070/IM1988v030n03ABEH001024
(Mi im1306)
 

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
References:
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
Bibliographic databases:
Document Type: Article
UDC: 512.76+512.664.4
MSC: Primary 14L30; Secondary 14E05
Language: English
Original paper language: Russian
Citation: F. A. Bogomolov, “The Brauer group of quotient spaces by linear group actions”, Math. USSR-Izv., 30:3 (1988), 455–485
Citation in format AMSBIB
\Bibitem{Bog87}
\by F.~A.~Bogomolov
\paper The Brauer group of quotient spaces by linear group actions
\jour Math. USSR-Izv.
\yr 1988
\vol 30
\issue 3
\pages 455--485
\mathnet{http://mi.mathnet.ru//eng/im1306}
\crossref{https://doi.org/10.1070/IM1988v030n03ABEH001024}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=903621}
\zmath{https://zbmath.org/?q=an:0679.14025|0641.14005}
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  • https://doi.org/10.1070/IM1988v030n03ABEH001024
  • https://www.mathnet.ru/eng/im/v51/i3/p485
  • This publication is cited in the following 61 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:890
    Russian version PDF:336
    English version PDF:52
    References:64
    First page:1
     
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