Density of Châtelet surfaces failing the Hasse principle

DOI10.1112/plms/pdt060zbMath1291.14041arXiv1210.4010OpenAlexW3102641540MaRDI QIDQ5418008

Régis de la Bretèche, Timothy D. Browning

Publication date: 23 May 2014

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.4010

zbMATH Keywords

Hasse principleBrauer-Manin obstructionChâtelet surfaceproportionalmost-all

Mathematics Subject Classification ID

Rational points (14G05) Varieties over global fields (11G35) Arithmetic ground fields for surfaces or higher-dimensional varieties (14J20) Cubic and quartic Diophantine equations (11D25)

Related Items (8)

Number fields with prescribed norms (with an appendix by Yonatan Harpaz and Olivier Wittenberg) ⋮ Rational points on Del Pezzo surfaces of degree four ⋮ Schinzel hypothesis on average and rational points ⋮ On the number of certain del Pezzo surfaces of degree four violating the Hasse principle ⋮ Counter-examples to the Hasse principle among certain coflasque tori ⋮ A positive proportion of Hasse principle failures in a family of Châtelet surfaces ⋮ On the Frequency of Algebraic Brauer Classes on Certain Log K3 Surfaces ⋮ Random Thue and Fermat equations

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