The Brauer group of torsors and its arithmetic applications.

DOI10.5802/aif.1998zbMath1115.11032OpenAlexW2495035907MaRDI QIDQ1878464

David Harari, Alexei N. Skorobogatov

Publication date: 20 August 2004

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_2003__53_7_1987_0

zbMATH Keywords

Hasse principleBrauer groupuniversal torsor

Mathematics Subject Classification ID

Rational points (14G05) Varieties over global fields (11G35)

Related Items (2)

Comparing descent obstruction and Brauer-Manin obstruction for open varieties ⋮ On the fibration method for zero-cycles and rational points

Cites Work

• Principal homogeneous spaces under flasque tori; applications
• La descente sur les variétés rationnelles. II. (The descent on rational varieties. II)
• Weak approximation for surfaces defined by two quadratic forms
• Fibration method and Manin obstruction
• Rational points on some pencils of conics with 6 singular fibres
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Séconde partie)
• Arithmetic on certain quadric bundles of relative dimension 2. I.
• Del Pezzo surfaces of degree four
• La $R$-équivalence sur les tores
• Flèches de spécialisations en cohomologie étale et applications arithmétiques
• Descent on fibrations over P¹_k revisited
• Descent on fibrations over the projective line
• Families of rationally connected varieties
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