Formulas for the unramified Brauer group of a principal homogeneous space of a linear algebraic group.

DOI10.1006/jabr.1999.8153zbMath1054.14510OpenAlexW2044438066MaRDI QIDQ1972423

Mikhail Borovoi, Boris Kunyavskiĭ

Publication date: 2000

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

Full work available at URL: https://semanticscholar.org/paper/f4598e63042f7de72a8e84fe3c19d0f79c0d1459

zbMATH Keywords

hypercohomologylinear algebraic group\(z\)-extension

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Brauer groups of schemes (14F22)

Related Items (12)

On Serre's injectivity question and norm principle ⋮ Problems about torsors over regular rings ⋮ Arithmetical birational invariants of linear algebraic groups over two-dimensional geometric fields ⋮ Flasque resolutions for connected reductive algebraic groups. ⋮ On the unramified Brauer group of a homogeneous space ⋮ Explicit methods for the Hasse norm principle and applications toA_nandS_nextensions ⋮ Résolutions flasques des groupes linéaires connexes ⋮ Extended Picard complexes for algebraic groups and homogeneous spaces ⋮ Extended Picard complexes and linear algebraic groups ⋮ Local-global principles for zero-cycles on homogeneous spaces over arithmetic function fields ⋮ Groupe de Picard et groupe de Brauer des compactifications lisses d’espaces homogènes ⋮ Unramified algebraic Brauer group of homogeneous spaces

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