Unramified Brauer group of homogeneous spaces with finite stabilizer

DOI10.1016/j.jalgebra.2014.03.040zbMath1368.14033OpenAlexW1886984469MaRDI QIDQ403342

Giancarlo Lucchini Arteche

Publication date: 29 August 2014

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2014.03.040

zbMATH Keywords

homogeneous spacesfinite groupsGalois cohomologyBrauer group

Mathematics Subject Classification ID

Brauer groups of schemes (14F22)

Related Items

The Grunwald problem and approximation properties for homogeneous spaces, The Massey vanishing conjecture for number fields, Weak approximation property and Hasse principle fo homogeneous spaces with finite solvable stabilizer, Unramified algebraic Brauer group of homogeneous spaces

Cites Work

• The unramified Brauer group over a global field of positive characteristic
• Néron-Severi groups under specialization
• The Nagata embedding theorem
• Fibration method and Manin obstruction
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• Complexes de groupes de type multiplicatif et groupe de Brauer non ramifi\'e des espaces homog\`enes
• Quelques propriétés d’approximation reliées à la cohomologie galoisienne d’un groupe algébrique fini
• Groupe de Brauer et arithmétique des groupes algébriques linéaires sur un corps de nombres.
• Néron Models
• The Brauer-Manin obstructions for homogeneous spaces with connected or abelian stabilizer.
• Groupe de Brauer non ramifié de quotients par un groupe fini
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