Complexes de groupes de type multiplicatif et groupe de brauer non ramifié des espaces homogénes

Mikhail Borovoi; Cyril Demarche; David Harari

doi:10.24033/asens.2198

Complexes de groupes de type multiplicatif et groupe de brauer non ramifié des espaces homogénes

Mikhail Borovoi, Cyril Demarche, David Harari

School of Mathematical Sciences

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

13 Scopus citations

Abstract

We compute by arithmetic methods the unramified Brauer group of homogeneous spaces of linear algebraic groups over various fields. We get formulae in terms of hypercohomology of complexes of groups of multiplicative type.

Original language	French
Pages (from-to)	651-692
Number of pages	42
Journal	Annales Scientifiques de l'Ecole Normale Superieure
Volume	46
Issue number	4
DOIs	https://doi.org/10.24033/asens.2198
State	Published - 2013

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title = "Complexes de groupes de type multiplicatif et groupe de brauer non ramifi{\'e} des espaces homog{\'e}nes",

abstract = "We compute by arithmetic methods the unramified Brauer group of homogeneous spaces of linear algebraic groups over various fields. We get formulae in terms of hypercohomology of complexes of groups of multiplicative type.",

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Complexes de groupes de type multiplicatif et groupe de brauer non ramifié des espaces homogénes

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