On the unramified Brauer group of a homogeneous space

M. Borovoĭ

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

On the unramified Brauer group of a homogeneous space

M. Borovoĭ^*

^*Corresponding author for this work

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	529-532
Number of pages	4
Journal	St. Petersburg Mathematical Journal
Volume	25
Issue number	4
DOIs	https://doi.org/10.1090/S1061-0022-2014-01304-0
State	Published - 2014

Keywords

Homogeneous space
Linear algebraic group
Unramified Brauer group

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10.1090/S1061-0022-2014-01304-0

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title = "On the unramified Brauer group of a homogeneous space",

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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KW - Linear algebraic group

KW - Unramified Brauer group

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JO - St. Petersburg Mathematical Journal

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On the unramified Brauer group of a homogeneous space

Abstract

Keywords

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