Iterating the algebraic étale-Brauer set

DOI10.1016/j.jnt.2017.05.027zbMath1423.11116OpenAlexW2736548469MaRDI QIDQ2406373

Yanyan Li

Publication date: 27 September 2017

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://ora.ox.ac.uk/objects/uuid:0b101edb-24da-4964-bdc7-dcd95fbc5243

zbMATH Keywords

algebraic groupsrational pointsweak approximationBrauer-Manin obstructionuniversal torsorsÉtale-Brauer obstruction

Mathematics Subject Classification ID

Rational points (14G05) Linear algebraic groups over global fields and their integers (20G30) Varieties over global fields (11G35) Brauer groups of schemes (14F22) Global ground fields in algebraic geometry (14G25)

Related Items (1)

Invariant Brauer subgroup and iterated descent obstruction

Cites Work

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• Higher dimensional Enriques varieties and automorphisms of generalized Kummer varieties
• Failure of the Hasse principle for Enriques surfaces
• Insufficiency of the Brauer-Manin obstruction applied to étale covers
• Finite descent obstructions and rational points on curves
• Descent obstruction is equivalent to étale Brauer-Manin obstruction
• Descent obstruction and étale Brauer-Manin obstruction
• La descente sur les variétés rationnelles. II. (The descent on rational varieties. II)
• Beyond the Manin obstruction. -- Appendix A by S. Siksek: 4-descent. -- Appendix B: The Grothendieck spectral sequence and the truncation functor
• Galois Cohomology
• Insufficiency of the Brauer-Manin obstruction for rational points on Enriques surfaces
• Obstruction sets and extensions of groups
• Failure of the Hasse principle on general surfaces
• The Brauer group of Kummer surfaces and torsion of elliptic curves
• Altérations et groupe fondamental premier à $p$
• Good reduction of the Brauer–Manin obstruction
• Galois Groups and Fundamental Groups
• Descent Obstruction and Fundamental Exact Sequence
• Comparing descent obstruction and Brauer-Manin obstruction for open varieties
• Topological tameness of Margulis Spacetimes

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