Non-invariance of the Hasse principle with Brauer-Manin obstruction

DOI10.1007/S00229-022-01396-WzbMath1529.11083OpenAlexW4281671842WikidataQ114230721 ScholiaQ114230721MaRDI QIDQ6155358

Han Wu

Publication date: 12 June 2023

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-022-01396-w

zbMATH Keywords

Hasse principleBrauer-Manin obstruction

Mathematics Subject Classification ID

Rational points (14G05) Varieties over global fields (11G35) Global ground fields in algebraic geometry (14G25) Hasse principle, weak and strong approximation, Brauer-Manin obstruction (14G12)

Related Items (1)

Arithmetic of Châtelet surfaces under extensions of base fields

Cites Work

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• Pathologies of the Brauer-Manin obstruction
• Insufficiency of the Brauer-Manin obstruction applied to étale covers
• Finite descent obstructions and rational points on curves
• Existence of rational points on smooth projective varieties
• Heegner points and derivatives of \(L\)-series
• Beyond the Manin obstruction. -- Appendix A by S. Siksek: 4-descent. -- Appendix B: The Grothendieck spectral sequence and the truncation functor
• The Diophantine equation \(ax^3+by^3+cz^3=0\)
• Singular curves and the étale Brauer-Manin obstruction for surfaces
• Zéro-cycles de degré 1 sur les solides de Poonen
• The Arithmetic of Elliptic Curves

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