Odd order Brauer-Manin obstruction on diagonal quartic surfaces

DOI10.1016/j.aim.2014.11.004zbMath1388.14071arXiv1312.6255OpenAlexW2159863838MaRDI QIDQ481681

Alexei N. Skorobogatov, Evis Ieronymou

Publication date: 12 December 2014

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.6255

zbMATH Keywords

rational points\(K3\) surfacesBrauer groupBrauer-Manin obstruction

Mathematics Subject Classification ID

Rational points (14G05) Cubic and quartic Diophantine equations (11D25) Brauer groups of schemes (14F22) Global ground fields in algebraic geometry (14G25)

Related Items

Diagonal quartic surfaces with a Brauer–Manin obstruction, Cohomology and the Brauer groups of diagonal surfaces, Index of fibrations and Brauer classes that never obstruct the Hasse principle, Quantitative arithmetic of diagonal degree 2 \(K3\) surfaces, Order \(5\) Brauer-Manin obstructions to the integral Hasse principle on log \(K3\) surfaces, Explicit uniform bounds for Brauer groups of singular \(K3\) surfaces, Odd torsion Brauer elements and arithmetic of diagonal quartic surfaces over number fields, The Brauer group of an affine double plane associated to a hyperelliptic curve, Degree and the Brauer-Manin obstruction, Corrigendum to: ``Odd order Brauer-Manin obstruction on diagonal quartic surfaces., Arithmetic of K3 Surfaces, Finiteness theorems for K3 surfaces and abelian varieties of CM type, Complex multiplication and Brauer groups of \(K3\) surfaces, Transcendental Brauer groups of products of CM elliptic curves, Odd order obstructions to the Hasse principle on general K3 surfaces, Brauer-Manin obstructions on degree 2 \(K3\) surfaces, Bad reduction of the Brauer-Manin obstruction

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