Rational points on certain abelian varieties over function fields
type: Item
instance of: scholarly article
title: Rational points on certain abelian varieties over function fields
zbMATH Open document ID: 0838.14024
author: Fumio Hazama
published in: Journal of Number Theory
publication date: 1996-05-30T00:00:00Z
review text: This is a continuation of previous papers by the author [J. Number Theory 37, No. 2, 168-172 (1991; Zbl 0729.14019) and Tôhoku Math. J., II. Ser. 44, No. 3, 335-344 (1992; Zbl 0759.14034)]. The author constructs explicitly a three parameter family of elliptic curves defined over the field of rational numbers with generic Mordell-Weil rank four. The construction is based on a generalization of the Prym varieties, which deals with double covers of varieties of arbitrary dimension.
Mathematics Subject Classification ID: 14H52
Mathematics Subject Classification ID: 14K30
zbMATH DE Number: 729078
zbMATH Keywords: three parameter family of elliptic curves
zbMATH Keywords: Mordell-Weil rank four
zbMATH Keywords: Prym varieties
MaRDI profile type: Publication
full work available at URL: jnth.1995.1022
OpenAlex ID: W2036943181
DOI: 10.1006/JNTH.1995.1022
description: scientific article; zbMATH DE number 729078