Étale Brauer-Manin obstruction for Weil restrictions

DOI10.1016/j.aim.2022.108718OpenAlexW4302307920MaRDI QIDQ2094600

Yang Cao, Yongqi Liang

Publication date: 8 November 2022

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2202.04383

zbMATH Keywords

Weil restrictionÉtale Brauer-Manin obstruction

Mathematics Subject Classification ID

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

Related Items (2)

Quadratic points on intersections of two quadrics ⋮ Arithmetic of Châtelet surface bundles revisited

Cites Work

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• Finite descent obstructions and rational points on curves
• Descent obstruction is equivalent to étale Brauer-Manin obstruction
• Descent obstruction and étale Brauer-Manin obstruction
• Algebraic groups and rational points
• Invariant Brauer subgroup and iterated descent obstruction
• The Brauer group and the Brauer-Manin set of products of varieties
• Néron Models
• Algebraic families of nonzero elements of Shafarevich-Tate groups
• The Brauer–Grothendieck Group
• Comparing descent obstruction and Brauer-Manin obstruction for open varieties
• Descent theory for open varieties

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