The Brauer–Manin obstruction on del Pezzo surfaces of degree 2 branched along a plane section of a Kummer surface

DOI10.1017/S0305004108001102zbMath1144.14017OpenAlexW2064154513MaRDI QIDQ3506446

Adam Logan

Publication date: 13 June 2008

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004108001102

zbMATH Keywords

del Pezzo surfaceHasse principleBrauer--Manin obstruction

Mathematics Subject Classification ID

Rational and ruled surfaces (14J26) Brauer groups of schemes (14F22) Global ground fields in algebraic geometry (14G25)

Related Items (4)

Nontrivial elements of Sha explained through K3 surfaces ⋮ Non-hyperelliptic modular Jacobians of dimension 3 ⋮ Brauer-Manin obstructions on degree 2 \(K3\) surfaces ⋮ Failure of the Hasse principle on general surfaces

Cites Work

• Hasse principle for pencils of curves of genus one whose Jacobians have rational 2-division points
• The Brauer-Manin Obstruction and III[2]
• Efficient evaluation of the Brauer–Manin obstruction
• Brauer–Manin obstructions on some Del Pezzo surfaces
• On the arithmetic of del Pezzo surfaces of degree 2
• Computing the BrauerManin obstructions

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