A lower bound for the canonical height on abelian varieties over abelian extensions

DOI10.4310/MRL.2004.v11.n3.a10zbMath1060.11041arXivmath/0312393MaRDI QIDQ1890236

Joseph H. Silverman, Matthew H. Baker

Publication date: 29 December 2004

Published in: Mathematical Research Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0312393

zbMATH Keywords

height functionAbelian variety over number fields

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Heights (11G50) Arithmetic ground fields for abelian varieties (14K15)

Related Items (10)

Height and torsion of rank-2 Drinfield modules ⋮ The local Lehmer inequality for Drinfeld modules ⋮ The Lehmer inequality and the Mordell-Weil theorem for Drinfeld modules ⋮ Points de petite hauteur sur une variété semi‐abélienne de la forme Gmn×A$\mathbb {G}_m^n \times A$ ⋮ Intersection of curves and of subgroups and lower bound problems for the height in CM abelian varieties ⋮ Explicit small heights in infinite non-abelian extensions ⋮ On fields with Property (B) ⋮ LE PROBLÈME DE LEHMER ABÉLIEN POUR UN MODULE DE DRINFEL'D ⋮ Fields generated by finite rank subgroups of ℚ¯∗ ⋮ Relative Bogomolov extensions

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