The canonical height and elliptic surfaces

DOI10.1016/0022-314X(90)90073-ZzbMath0741.14008OpenAlexW2091124431MaRDI QIDQ1813295

Masato Kuwata

Publication date: 25 June 1992

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

Full work available at URL: https://doi.org/10.1016/0022-314x(90)90073-z

zbMATH Keywords

Mordell-Weil rankelliptic curveelliptic surfaceNéron-Severi groupheight functionscomputer calculationbasis for the group of rational points

Mathematics Subject Classification ID

Rational points (14G05) Elliptic curves over global fields (11G05) Elliptic surfaces, elliptic or Calabi-Yau fibrations (14J27) Cubic and quartic Diophantine equations (11D25) Arithmetic varieties and schemes; Arakelov theory; heights (14G40)

Related Items (3)

Elliptic Fibrations on the Modular Surface Associated to Γ 1(8) ⋮ Unnamed Item ⋮ Mordell-Weil lattice of Inose's elliptic \(K3\) surface arising from the product of 3-isogenous elliptic curves

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Intersection numbers of sections of elliptic surfaces
• Mordell-Weil groups of elliptic curves over C(t) with pg=O or 1
• On elliptic modular surfaces
• Computing Heights on Elliptic Curves
• Pythagorean triangels and a quartic surface.
• Geometric Aspects of Diophantine Equations Involving Equal Sums of Like Powers
• A Solution of A ⁴ +B ⁴ =C ⁴ +D ⁴

This page was built for publication: The canonical height and elliptic surfaces