The Brauer–Manin obstruction on Kummer varieties and ranks of twists of abelian varieties

DOI10.1112/blms/bdv032zbMath1326.11032arXiv1404.3641OpenAlexW2276687124MaRDI QIDQ5501655

David Holmes, René Pannekoek

Publication date: 14 August 2015

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

Full work available at URL: https://arxiv.org/abs/1404.3641

zbMATH Keywords

Brauer-Manin obstructionKummer varietiesranks of twists of abelian varieties

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Abelian varieties of dimension (> 1) (11G10) Varieties over global fields (11G35)

Related Items (1)

Point générique et saut du rang du groupe de Mordell–Weil

Cites Work

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• Lower bounds for height functions
• Weak approximation for surfaces defined by two quadratic forms
• Beyond the Manin obstruction. -- Appendix A by S. Siksek: 4-descent. -- Appendix B: The Grothendieck spectral sequence and the truncation functor
• Rational points on pencils of conics and quadrics with many degenerate fibres
• Abelian varieties over \(p\)-adic ground fields
• Ranks of elliptic curves
• A finiteness theorem for the Brauer group of abelian varieties and 𝐾3 surfaces
• The Brauer-Manin obstructions for homogeneous spaces with connected or abelian stabilizer.

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