Density of rational points on diagonal quartic surfaces

DOI10.2140/ant.2010.4.1zbMath1206.11082arXiv0812.4779OpenAlexW2962783595MaRDI QIDQ969261

David McKinnon, Adam Logan, Ronald van Luijk

Publication date: 6 May 2010

Published in: Algebra \& Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0812.4779

zbMATH Keywords

rational pointselliptic surfacesK3 surfacesquartic surfacesdiagonal surfaces

Mathematics Subject Classification ID

Rational points (14G05) (K3) surfaces and Enriques surfaces (14J28) Elliptic surfaces, elliptic or Calabi-Yau fibrations (14J27) Varieties over global fields (11G35) Cubic and quartic Diophantine equations (11D25)

Related Items (3)

Constructions of diagonal quartic and sextic surfaces with infinitely many rational points ⋮ Non-rational varieties with the Hilbert Property ⋮ Higher-dimensional Calabi-Yau varieties with dense sets of rational points

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