Extended Picard complexes and linear algebraic groups

DOI10.1515/CRELLE.2009.011zbMath1170.14015arXivmath/0612156OpenAlexW2028523619MaRDI QIDQ3612188

Mikhail Borovoi, Joost van Hamel

Publication date: 3 March 2009

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0612156

zbMATH Keywords

rational pointtorsorlinear algebraic groupelementary obstructionextended Picard complex

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Rational points (14G05) Linear algebraic groups over global fields and their integers (20G30) Cohomology theory for linear algebraic groups (20G10) Brauer groups of schemes (14F22) Global ground fields in algebraic geometry (14G25)

Related Items

The units-Picard complex of a reductive group scheme ⋮ Cohomology and the Brauer groups of diagonal surfaces ⋮ Abelian class groups of reductive group schemes ⋮ Local-global principles for homogeneous spaces of reductive groups over global function fields ⋮ A formular for the algebraic Brauer groups of torsor ⋮ Arithmetics of homogeneous spaces over p$p$‐adic function fields ⋮ Extended equivariant Picard complexes and homogeneous spaces ⋮ Comparing descent obstruction and Brauer-Manin obstruction for open varieties ⋮ Local-global principles for 1-motives ⋮ The units-Picard complex and the Brauer group of a product ⋮ Local-global questions for tori over 𝑝-adic function fields ⋮ Unnamed Item

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