Canonical vector heights on K3 surfaces with Picard number three— An argument for nonexistence

DOI10.1090/S0025-5718-04-01661-8zbMath1071.14038MaRDI QIDQ4813621

Arthur Baragar

Publication date: 13 August 2004

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

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Heights (11G50) Global ground fields in algebraic geometry (14G25)

Related Items (5)

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 ⋮ Canonical heights, invariant currents, and dynamical eigensystems of morphisms for line bundles ⋮ K3 surfaces with Picard number three and canonical vector heights

Cites Work

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• K3-surfaces with Picard number 2
• Rational points on K3 surfaces: A new canonical height
• Rational points on \(K3\) surfaces in \(\mathbb{P}^ 1\times\mathbb{P}^ 1\times\mathbb{P}^ 1\)
• Canonical Vector Heights on Algebraic K3 Surfaces with Picard Number Two
• Computing the canonical height on K3 surfaces

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