Pathologies of the Brauer-Manin obstruction

DOI10.1007/s00209-015-1565-xzbMath1365.14025arXiv1310.5055OpenAlexW1760678661WikidataQ59471320 ScholiaQ59471320MaRDI QIDQ269881

Jean-Louis Colliot-Thélène, Ambrus Pál, Alexei N. Skorobogatov

Publication date: 6 April 2016

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.5055

zbMATH Keywords

weak approximationHasse principleBrauer-Manin obstruction

Mathematics Subject Classification ID

Rational points (14G05) Varieties over global fields (11G35) Brauer groups of schemes (14F22) Global ground fields in algebraic geometry (14G25)

Related Items (12)

Number fields with prescribed norms (with an appendix by Yonatan Harpaz and Olivier Wittenberg) ⋮ Non-invariance of the Hasse principle with Brauer-Manin obstruction ⋮ Arithmetic of Châtelet surface bundles revisited ⋮ Noninvariance of weak approximation properties under extension of the ground field ⋮ Degree and the Brauer-Manin obstruction ⋮ Brauer–Manin obstruction and families of generalised Châtelet surfaces over number fields ⋮ Zéro-cycles sur les espaces homogènes et problème de Galois inverse ⋮ On the fibration method for zero-cycles and rational points ⋮ Brauer-Manin obstructions on degree 2 \(K3\) surfaces ⋮ Arithmetic purity of strong approximation for homogeneous spaces ⋮ 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

Uses Software

• SageMath

Cites Work

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