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Moscow Mathematical Journal, 2012, Volume 12, Number 1, Pages 1–20
DOI: https://doi.org/10.17323/1609-4514-2012-12-1-1-20 (Mi mmj444) 		 
This article is cited in 4 scientific papers (total in 4 papers)

A cohomological obstruction to weak approximation for homogeneous spaces

Mikhail Borovoia, Tomer M. Schlankb

a Raymond and Beverly Sackler School of Mathematical Sciences, Tel Aviv University, Tel Aviv, Israel
b Institute of Mathematics, Hebrew University, Jerusalem, Israel
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DOI: https://doi.org/10.17323/1609-4514-2012-12-1-1-20
Abstract: Let $X$ be a homogeneous space, $X=G/H$, where $G$ is a connected linear algebraic group over a number field $k$, and $H\subset G$ is a $k$-subgroup (not necessarily connected). Let $S$ be a finite set of places of $k$. We compute a Brauer–Manin obstruction to weak approximation for $X$ in $S$ in terms of Galois cohomology.
Key words and phrases: Brauer–Manin obstruction, weak approximation, homogeneous spaces, linear algebraic groups, Brauer group, Galois cohomology.
Received: January 19, 2011
Bibliographic databases:
Document Type: Article
MSC: Primary 14M17; Secondary 14G05, 20G10, 20G30
Language: English
Citation: Mikhail Borovoi, Tomer M. Schlank, “A cohomological obstruction to weak approximation for homogeneous spaces”, Mosc. Math. J., 12:1 (2012), 1–20
Citation in format AMSBIB
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\by Mikhail~Borovoi, Tomer~M.~Schlank
\paper A cohomological obstruction to weak approximation for homogeneous spaces
\jour Mosc. Math.~J.
\yr 2012
\vol 12
\issue 1
\pages 1--20
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\crossref{https://doi.org/10.17323/1609-4514-2012-12-1-1-20}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2952422}
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    • This publication is cited in the following 4 articles:
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