Jacobians of some curves of genus 2: torsion and simplicity
type: Item
instance of: scholarly article
title: Jacobians of some curves of genus 2: torsion and simplicity
zbMATH Open document ID: 0864.14017
published in: Journal de Théorie des Nombres de Bordeaux
publication date: 1996-03-24T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/229284
full work available at URL: jtnb7-1.html
review text: The author constructs equation of curves of genus 2, defined over \(\mathbb{Q}\), whose Jacobian has a \(\mathbb{Q}\)-rational point of order \(n\) for \(n=21\), 22, 23, 25, 26, 27 and 29; the Jacobian of all these curves are shown to be absolutely simple.
reviewed by: Luca Chiantini
Mathematics Subject Classification ID: 14H40
zbMATH DE Number: 858028
zbMATH Keywords: equation of curves
zbMATH Keywords: Jacobian
author: Franck Leprévost
MaRDI profile type: Publication
OpenAlex ID: W2025553790
cites work: Arithmetic variety of moduli for genus two
cites work: Q3985714
cites work: Q5288284
cites work: Q3998729
cites work: Q5181799
cites work: Explicit determination of nontrivial torsion structures of elliptic curves over quadratic number fields
cites work: Endomorphisms of Abelian varieties over finite fields
DOI: 10.5802/JTNB.144
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description: scientific article; zbMATH DE number 858028