Weak approximation, Brauer and \(R\)-equivalence in algebraic groups over arithmetical fields

DOI10.1215/kjm/1250517714zbMath1014.20019arXivalg-geom/9711015OpenAlexW2105025683MaRDI QIDQ5930006

Nguyêñ Quôć Thǎńg

Publication date: 22 April 2003

Published in: Journal of Mathematics of Kyoto University (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/alg-geom/9711015

zbMATH Keywords

Brauer equivalencelinear algebraic groupsweak approximation

Mathematics Subject Classification ID

Rational points (14G05) Linear algebraic groups over global fields and their integers (20G30) Brauer groups of schemes (14F22) Global ground fields in algebraic geometry (14G25)

Related Items (7)

Arithmetical birational invariants of linear algebraic groups over two-dimensional geometric fields ⋮ On analogs of Cassels-Tate's exact sequence for connected reductive groups and Brauer-Manin obstruction for homogeneous spaces over global function fields ⋮ On Galois cohomology of semisimple groups over local and global fields of positive characteristic. III ⋮ On some Hasse principles for algebraic groups over global fields ⋮ On Galois cohomology of connected reductive groups and Kottwitz exact sequence ⋮ On Galois cohomology and weak approximation of connected reductive groups over fields of positive characteristic ⋮ A note on obstructions to weak approximation and Brauer and R-equivalence relations for homogeneous spaces over global fields

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