Constructions of diagonal quartic and sextic surfaces with infinitely many rational points

DOI10.1142/S179304211450050XzbMath1372.11043arXiv1402.4583MaRDI QIDQ3191214

Andrew Bremner, Ajai Choudhry, Maciej Ulas

Publication date: 30 September 2014

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

Full work available at URL: https://arxiv.org/abs/1402.4583

zbMATH Keywords

sextic surfacediagonal quartic surface

Mathematics Subject Classification ID

Rational points (14G05) Computer solution of Diophantine equations (11Y50) Cubic and quartic Diophantine equations (11D25) Higher degree equations; Fermat's equation (11D41)

Cites Work

• Unnamed Item
• Density of rational points on diagonal quartic surfaces
• \(K3\) surfaces with Picard number one and infinitely many rational points
• On certain Diophantine equations of diagonal type
• ON x^a ± y^b ± z^c ± w^d = 0, 1/a + 1/b + 1/c + 1/d = 1
• Rational points on diagonal quartic surfaces
• Arithmetic of diagonal quartic surfaces, II
• Density of rational points on elliptic surfaces

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