Complexes de groupes de type multiplicatif et groupe de Brauer non ramifi\'e des espaces homog\`enes

zbMath1328.14032arXiv1203.5964MaRDI QIDQ2854297

David Harari, Mikhail Borovoi, Cyril Demarche

Publication date: 18 October 2013

Full work available at URL: https://arxiv.org/abs/1203.5964

zbMATH Keywords

homogeneous spacesGalois cohomologylinear algebraic groupsunramified Brauer group

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Group actions on varieties or schemes (quotients) (14L30) Varieties over finite and local fields (11G25) Brauer groups of schemes (14F22) Galois cohomology of linear algebraic groups (11E72)

Related Items (10)

The unramified Brauer group over a global field of positive characteristic ⋮ On the unramified Brauer group of a homogeneous space ⋮ Local-global invariants of finite and infinite groups: around Burnside from another side. ⋮ Unramified Brauer group of homogeneous spaces with finite stabilizer ⋮ Local-global principles for homogeneous spaces of reductive groups over global function fields ⋮ Arithmetics of homogeneous spaces over p$p$‐adic function fields ⋮ Zéro-cycles sur les espaces homogènes et problème de Galois inverse ⋮ The unramified Brauer group of homogeneous spaces with finite stabilizer ⋮ Rational points on fibrations with few non-split fibres ⋮ Unramified algebraic Brauer group of homogeneous spaces

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