On the average value of the canonical height in higher dimensional families of elliptic curves

DOI10.4064/aa166-2-1zbMath1316.11048arXiv1305.7207OpenAlexW2963096062MaRDI QIDQ2928540

Wei Pin Wong

Publication date: 7 November 2014

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.7207

zbMATH Keywords

function fieldelliptic curvesheight function

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Heights (11G50) Arithmetic varieties and schemes; Arakelov theory; heights (14G40)

Related Items (1)

Heights and the specialization map for families of elliptic curves over $\mathbb {P}^n$

Cites Work

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• Power-free values of polynomials
• Lower bound for the canonical height on elliptic curves
• Counting points of small height on elliptic curves
• Counting Rational Points on Algebraic Varieties
• A quantitative version of Siegel's theorem: integral points on elliptic curves and Catalan curves.
• Divisibility of the Specialization Map for Families of Elliptic Curves
• Variation of the Canonical Height of a Point Depending on a Parameter
• Specializations of Finitely Generated Subgroups of Abelian Varieties
• POLYNOMIAL IDENTITIES AND HAUPTMODULN
• Heights and the specialization map for families of abelian varieties.

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