Hasse principles and approximation theorems for homogeneous spaces over fields of virtual cohomological dimension one

DOI10.1007/s002220050077zbMath0857.20024OpenAlexW2000225259MaRDI QIDQ1922558

Publication date: 10 November 1996

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002220050077

zbMATH Keywords

homogeneous spaces cohomological dimension weak approximation Hasse principle approximation theorems connected linear groups

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) 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 (13)

Rationality of even-dimensional intersections of two real quadrics ⋮ Hasse principle for principal homogeneous spaces under classical groups over a field of virtual cohomological dimension at most one ⋮ Some aspects of rational points and rational curves ⋮ On some arithmetic questions of reductive groups over algebraic extensions of local and global fields ⋮ The fibration method over real function fields ⋮ Grothendieck’s theorem on non-abelian 𝐻² and local-global principles ⋮ Motivic torsors ⋮ Weak approximation over function fields of curves over large or finite fields ⋮ The tight approximation property ⋮ A remark on local-global principles for conjugacy classes ⋮ On the integral Hodge conjecture for real varieties. II ⋮ Isotropic trialitarian algebraic groups ⋮ PFISTER FORMS TIMES TRACE FORMS

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