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

DOI10.1090/tran/6756zbMath1356.11031arXiv1409.3255OpenAlexW2225835066MaRDI QIDQ2960428

Wei Pin Wong

Publication date: 9 February 2017

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.3255

zbMATH Keywords

height functionelliptic curves over function fieldsspecialization map

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The canonical height and integral points on elliptic curves
• On the average value of the canonical height in higher dimensional families of elliptic curves
• Variation of the Canonical Height of a Point Depending on a Parameter
• Computing Heights on Elliptic Curves
• Specializations of Finitely Generated Subgroups of Abelian Varieties
• Heights and the specialization map for families of abelian varieties.
• Problèmes arithmétique et géométriques rattachés à la notion de rang d'une courbe algébrique dans un corps