Odd order obstructions to the Hasse principle on general K3 surfaces

DOI10.1090/mcom/3485zbMath1452.14019arXiv1808.00879OpenAlexW2972220417WikidataQ127298277 ScholiaQ127298277MaRDI QIDQ5216733

Anthony Várilly-Alvarado, Jennifer Berg

Publication date: 18 February 2020

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.00879

zbMATH Keywords

\(K3\) surfaceHasse principleBrauer-Manin obstructioncubic fourfolds

Mathematics Subject Classification ID

Rational points (14G05) (K3) surfaces and Enriques surfaces (14J28) (4)-folds (14J35) Brauer groups of schemes (14F22) Hasse principle, weak and strong approximation, Brauer-Manin obstruction (14G12)

Related Items (7)

Quantitative arithmetic of diagonal degree 2 \(K3\) surfaces ⋮ An example of a Brauer-Manin obstruction to weak approximation at a prime with good reduction ⋮ Order \(5\) Brauer-Manin obstructions to the integral Hasse principle on log \(K3\) surfaces ⋮ Odd torsion Brauer elements and arithmetic of diagonal quartic surfaces over number fields ⋮ A transcendental Brauer-Manin obstruction to weak approximation on a Calabi-Yau threefold ⋮ Rational points and derived equivalence ⋮ Reduction of Brauer classes on K3 surfaces, rationality and derived equivalence

Uses Software

• Magma

Cites Work

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