Singular curves and the étale Brauer-Manin obstruction for surfaces

DOI10.24033/asens.2226zbMath1308.14024arXiv1212.6019OpenAlexW2963619415MaRDI QIDQ2934381

Alexei N. Skorobogatov, Yonatan Harpaz

Publication date: 12 December 2014

Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.6019

zbMATH Keywords

rational pointsweak approximationHasse principleBrauer-Manin obstructionBrauer groups of schemes

Mathematics Subject Classification ID

Rational points (14G05) Brauer groups of schemes (14F22)

Related Items (9)

Pathologies of the Brauer-Manin obstruction ⋮ Noninvariance of weak approximation with Brauer–Manin obstruction for surfaces ⋮ Progress concerning the local-global principle for zero-cycles on algebraic varieties ⋮ Geometry and arithmetic of certain log K3 surfaces ⋮ Non-invariance of the Hasse principle with Brauer-Manin obstruction ⋮ Noninvariance of weak approximation properties under extension of the ground field ⋮ Stable rationality of Brauer-Severi surface bundles ⋮ Failure of the Brauer-Manin principle for a simply connected fourfold over a global function field, via orbifold Mordell ⋮ Rational points on conic bundles over elliptic curves

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