K3 surfaces with Picard number three and canonical vector heights

DOI10.1090/S0025-5718-07-01962-XzbMath1109.14031arXivmath/0602166OpenAlexW1983669472MaRDI QIDQ3433766

Ronald van Luijk, Arthur Baragar

Publication date: 2 May 2007

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

Full work available at URL: https://arxiv.org/abs/math/0602166

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Heights (11G50) Picard groups (14C22) Arithmetic varieties and schemes; Arakelov theory; heights (14G40)

Related Items (6)

Automorphisms of surfaces in a class of Wehler \(K3\) surfaces with Picard number \(4\) ⋮ Canonical vector heights on \(K3\) surfaces -- a nonexistence result ⋮ Orbits of points on certain \(K3\) surfaces ⋮ Finite orbits for large groups of automorphisms of projective surfaces ⋮ Examples of dynamical degree equals arithmetic degree ⋮ \(K3\) surfaces, rational curves, and rational points

Cites Work

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• An elliptic \(K3\) surface associated to Heron triangles
• Rational points on K3 surfaces: A new canonical height
• Canonical vector heights on K3 surfaces with Picard number three— An argument for nonexistence

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