Certain curves over \(\mathbb{Q}(t)\) of genus \(2,3,4\)
type: Item
instance of: scholarly article
title: Certain curves over \(\mathbb{Q}(t)\) of genus \(2,3,4\)
zbMATH Open document ID: 0941.11025
author: Andrew Bremner
published in: Archiv der Mathematik
publication date: 2000-08-07T00:00:00Z
review text: The author presents curves of genus 2,3,4 over \(\mathbb{Q}(t)\) with the property that they possess no global point over \(\mathbb{Q}(t)\), although their Jacobian varieties split as products of elliptic curves each of positive \(\mathbb{Q}(t)\)-rank.
reviewed by: Amílcar Pacheco
Mathematics Subject Classification ID: 11G05
Mathematics Subject Classification ID: 11G30
Mathematics Subject Classification ID: 11G10
zbMATH DE Number: 1346255
zbMATH Keywords: global points
zbMATH Keywords: rank of elliptic curves
MaRDI profile type: Publication
full work available at URL: s000130050377
OpenAlex ID: W2067273571
DOI: 10.1007/S000130050377
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description: scientific article; zbMATH DE number 1346255