Hasse principle for principal homogeneous spaces under classical groups over a field of virtual cohomological dimension at most one

DOI10.1007/BF02567522zbMath0846.20047MaRDI QIDQ1911864

Antoine Ducros

Publication date: 10 June 1996

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/156167

zbMATH Keywords

cohomological dimensionfield of rational functionsperfect fieldsconnected linear groupsHasse principle for principal homogeneous spacessmooth projective real curves

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Quadratic forms over general fields (11E04) Cohomology theory for linear algebraic groups (20G10) Classical groups (11E57)

Related Items

Classification of Hermitian forms and semisimple groups over fields of virtual cohomological dimension one, LES of the flow past a rectangular cylinder using the immersed boundary concept, The tight approximation property, Isotropic trialitarian algebraic groups

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