Triangles and elliptic curves. V
type: Item
instance of: scholarly article
title: Triangles and elliptic curves. V
zbMATH Open document ID: 0865.14015
author: Takashi Ono
published in: Proceedings of the Japan Academy. Series A
publication date: 1997-07-13T00:00:00Z
review text: [For part IV of this paper see ibid. 71, No. 5, 104-106 (1995; Zbl 0841.14028).] The author defines a bunch \(E(\lambda,k)\) of elliptic space curves over a field \(k\) of characteristic not two \((\lambda\in k\), \(\lambda \neq 0,1)\). He gives a surjective mapping \(E(\lambda,k) \to\mathbb{P}^1(k)\) which is an analogue of the branched covering of Riemann surfaces. He examines this map for special fields \(k\) including some local and global fields of interest in number theory. Reviewer's remark: The reference to \textit{L. Euler}'s ``Vollständige Anleitung zur Algebra'' [see e.g. Stuttgart 1959; Zbl 0083.24406)] would be more helpful if the author had given the section and the paragraph in which the cited reference is hidden.
Mathematics Subject Classification ID: 14H52
Mathematics Subject Classification ID: 11D25
Mathematics Subject Classification ID: 11G05
zbMATH DE Number: 897670
zbMATH Keywords: elliptic space curves
reviewed by: Bernd Richter
MaRDI profile type: Publication
full work available at URL: pjaa.71.137
OpenAlex ID: W4246989192
cites work: Q5532660
cites work: Q3222150
cites work: Q5507818
cites work: Triangles and elliptic curves. III
cites work: Q4867187
cites work: Q4049355
DOI: 10.3792/PJAA.71.137
description: scientific article; zbMATH DE number 897670