On the unramified Brauer group of a homogeneous space

Borovoĭ, M.

doi:10.1090/S1061-0022-2014-01304-0

On the unramified Brauer group of a homogeneous space
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by M. Borovoĭ
Translated by: the author

St. Petersburg Math. J. 25 (2014), 529-532

DOI: https://doi.org/10.1090/S1061-0022-2014-01304-0

Published electronically: June 5, 2014

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Abstract:

A new proof of the following theorem is given: for any connected linear algebraic group $G$ over an algebraically closed field $k$ of characteristic 0 and any connected closed subgroup $H$ of $G$, the unramified Brauer group of $G/H$ vanishes.

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