Unramified algebraic Brauer group of homogeneous spaces

DOI10.1007/s00031-015-9301-5zbMath1354.14031arXiv1312.3103OpenAlexW3104935565MaRDI QIDQ2353487

Giancarlo Lucchini Arteche

Publication date: 14 July 2015

Published in: Transformation Groups (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.3103

zbMATH Keywords

homogeneous spacesGalois cohomologyBrauer groups

Mathematics Subject Classification ID

Brauer groups of schemes (14F22)

Related Items (3)

Extensions of algebraic groups with finite quotient and nonabelian 2-cohomology ⋮ Conjugation of semisimple subgroups over real number fields of bounded degree ⋮ The unramified Brauer group of homogeneous spaces with finite stabilizer

Cites Work

• Unramified Brauer group of homogeneous spaces with finite stabilizer
• Reduction of structure for torsors over semilocal rings
• Formulas for the unramified Brauer group of a principal homogeneous space of a linear algebraic group.
• Resolving \(G\)-torsors by abelian base extensions.
• Complexes de groupes de type multiplicatif et groupe de Brauer non ramifi\'e des espaces homog\`enes
• Variétés presque rationnelles, leurs points rationnels et leurs dégénérescences
• Groupe de Picard et groupe de Brauer des compactifications lisses d’espaces homogènes
• RATIONALITY OF THE ORBIT SPACES OF IRREDUCIBLE REPRESENTATIONS OF THE GROUP SL₂
• RATIONALITY OF SOME QUOTIENT VARIETIES
• Groupe de Brauer et arithmétique des groupes algébriques linéaires sur un corps de nombres.
• Grothendieck’s theorem on non-abelian 𝐻² and local-global principles
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Unramified algebraic Brauer group of homogeneous spaces