Orbits of points on certain \(K3\) surfaces

DOI10.1016/j.jnt.2010.09.012zbMath1225.14028OpenAlexW2012067841MaRDI QIDQ626846

Arthur Baragar

Publication date: 18 February 2011

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2010.09.012

zbMATH Keywords

automorphismorbitHausdorff dimensionrational pointK3 surfaceample cone

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Varieties over global fields (11G35) Heights (11G50) Global ground fields in algebraic geometry (14G25) Automorphisms of surfaces and higher-dimensional varieties (14J50)

Related Items (max. 100)

Wehler \(K3\) surfaces with Picard number 3 and 4. Appendix to: ``Orbits of points on certain \(K3\) surfaces, by Arthur Baragar

Cites Work

• Unnamed Item
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• Wehler \(K3\) surfaces with Picard number 3 and 4. Appendix to: ``Orbits of points on certain \(K3\) surfaces, by Arthur Baragar
• \(K3\) surfaces with Picard number one and infinitely many rational points
• Entropy, Hausdorff measures old and new, and limit sets of geometrically finite Kleinian groups
• Complete intersections with middle Picard number 1 defined over \({\mathbb{Q}}\)
• Finiteness theorems for abelian varieties over number fields.
• K3-surfaces with Picard number 2
• On the number of rational points of bounded height on algebraic varieties
• The asymptotic distribution of lattice points in Euclidean and non-Euclidean spaces
• Rational points on K3 surfaces: A new canonical height
• Number theory III: Diophantine geometry
• Points of bounded height, adelic topology and Tamagawa measures.
• Finding Rational Periodic Points on Wehler K3 Surfaces
• K3 surfaces with Picard number three and canonical vector heights
• Canonical Vector Heights on Algebraic K3 Surfaces with Picard Number Two
• Canonical vector heights on K3 surfaces with Picard number three— An argument for nonexistence
• Density of rational points on elliptic \(K3\) surfaces

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