Purity of \(G_2\)-torsors

DOI10.1016/j.crma.2007.07.018zbMath1126.14053OpenAlexW63232782MaRDI QIDQ2382294

I. A. Panin, Vladimir I. Chernousov

Publication date: 8 October 2007

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2007.07.018

zbMATH Keywords

\(G_2\)-torsorsPfister spacespurity of functors

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Group actions on varieties or schemes (quotients) (14L30) Cohomology theory for linear algebraic groups (20G10) Galois cohomology of linear algebraic groups (11E72)

Related Items (6)

Problems about torsors over regular rings ⋮ The Artin-Springer Theorem for quadratic forms over semi-local rings with finite residue fields ⋮ An 8-periodic exact sequence of Witt groups of Azumaya algebras with involution ⋮ \(\mathbb{A}^1\)-connected components of classifying spaces and purity for torsors ⋮ Purity conjecture for reductive groups ⋮ Rationally isotropic quadratic spaces are locally isotropic

Cites Work

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• Fibres quadratiques et composantes connexes réelles
• Locally trivial principal homogeneous spaces
• Rationally isotropic quadratic spaces are locally isotropic. III
• A purity theorem for the witt group
• Rationally trivial Hermitian spaces are locally trivial

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