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Publication:2781949
DOI10.1023/A:1014348315066zbMath1019.14012MaRDI QIDQ2781949
Alexei N. Skorobogatov, David Harari
Publication date: 11 April 2002
Published in: Compositio Mathematica (Search for Journal in Brave)
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
algebraic grouptorsorcounter-example to the Hasse principledescent obstruction to weak approximation
Homogeneous spaces and generalizations (14M17) Rational points (14G05) Varieties over global fields (11G35) Brauer groups of schemes (14F22) Global ground fields in algebraic geometry (14G25)
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The étale fundamental group of a homogeneous space of a linear algebraic group ⋮ Iterating the algebraic étale-Brauer set ⋮ Supersolvable descent for rational points ⋮ Weak approximation versus the Hasse principle for subvarieties of abelian varieties ⋮ On the homogeneous spaces of Borovoi-Kunyavskii ⋮ A formular for the algebraic Brauer groups of torsor ⋮ Invariant Brauer subgroup and iterated descent obstruction ⋮ Comparing descent obstruction and Brauer-Manin obstruction for open varieties ⋮ Quelques propriétés d’approximation reliées à la cohomologie galoisienne d’un groupe algébrique fini ⋮ Finite descent obstruction and non-abelian reciprocity ⋮ Zéro-cycles de degré 1 sur les solides de Poonen ⋮ Non-ramified Brauer group of homogeneous spaces with finite stabilisers ⋮ Algebraic families of nonzero elements of Shafarevich-Tate groups ⋮ Obstruction sets and extensions of groups ⋮ Descent obstruction is equivalent to étale Brauer-Manin obstruction ⋮ Descent obstructions and Brauer–Manin obstruction in positive characteristic ⋮ Descent Obstruction and Fundamental Exact Sequence
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