Noninvariance of weak approximation with Brauer–Manin obstruction for surfaces

DOI10.4064/aa210827-19-8OpenAlexW4294689011MaRDI QIDQ5041524

Han Wu

Publication date: 14 October 2022

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.00893

zbMATH Keywords

rational pointsweak approximationBrauer-Manin obstructionweak approximation with Brauer-Manin obstruction

Mathematics Subject Classification ID

Rational points (14G05) Varieties over global fields (11G35) Brauer groups of schemes (14F22) Hasse principle, weak and strong approximation, Brauer-Manin obstruction (14G12)

Uses Software

• SageMath

Cites Work

• Insufficiency of the Brauer-Manin obstruction applied to étale covers
• Finite descent obstructions and rational points on curves
• Singular curves and the étale Brauer-Manin obstruction for surfaces
• Number of Points of Varieties in Finite Fields
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