2-descent on elliptic curves and rational points on certain Kummer surfaces

DOI10.1016/j.aim.2005.06.005zbMath1085.14021OpenAlexW2124132921WikidataQ57395848 ScholiaQ57395848MaRDI QIDQ2577004

Alexei N. Skorobogatov, H. P. F. Swinnerton-Dyer

Publication date: 29 December 2005

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

Full work available at URL: https://doi.org/10.1016/j.aim.2005.06.005

Mathematics Subject Classification ID

Rational points (14G05) (K3) surfaces and Enriques surfaces (14J28) Varieties over global fields (11G35) Global ground fields in algebraic geometry (14G25)

Related Items

Diagonal quartic surfaces and transcendental elements of the Brauer group, The Brauer group of Kummer surfaces and torsion of elliptic curves, Selmer ranks of quadratic twists of elliptic curves with partial rational two-torsion, Root numbers and parity phenomena, Effective computation of Picard groups and Brauer-Manin obstructions of degree two \(K3\) surfaces over number fields, Effectivity of Brauer-Manin obstructions on surfaces, Failure of the Hasse principle for Enriques surfaces, A finiteness theorem for the Brauer group of abelian varieties and 𝐾3 surfaces, Transcendental obstructions to weak approximation on general \(K3\) surfaces, The effect of twisting on the 2-Selmer group, Integral points on conic log K3 surfaces, Arithmetic of K3 Surfaces, Ranks of twists of elliptic curves and Hilbert's tenth problem, On Brauer groups of double covers of ruled surfaces, Conway topograph, -dynamics and two-valued groups, Failure of the Hasse principle on general surfaces

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