Explicit height bounds for \(K\)-rational points on transverse curves in powers of elliptic curves

DOI10.2140/pjm.2021.315.477zbMath1492.11109arXiv2006.02538OpenAlexW3033603679MaRDI QIDQ2077141

Francesco Veneziano, Evelina Viada

Publication date: 24 February 2022

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.02538

zbMATH Keywords

elliptic curvesrational pointsalgebraic curvesheightsDiophantine geometry

Mathematics Subject Classification ID

Heights (11G50) Arithmetic varieties and schemes; Arakelov theory; heights (14G40)

Cites Work

• Unnamed Item
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• Lattices and rational points
• The Difference Between the Weil Height and the Canonical Height on Elliptic Curves
• Heights of Projective Varieties and Positive Green Forms
• An Explicit Manin-Dem’janenko Theorem in Elliptic Curves
• Cyclotomic polynomials at roots of unity
• Positive Line Bundles on Arithmetic Varieties
• THE EXPLICIT MORDELL CONJECTURE FOR FAMILIES OF CURVES
• On the explicit Torsion Anomalous Conjecture

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