\(S\)-units attached to genus 3 hyperelliptic curves
type: Item
instance of: scholarly article
title: \(S\)-units attached to genus 3 hyperelliptic curves
zbMATH Open document ID: 0879.11031
author: Jane Arledge
published in: Journal of Number Theory
publication date: 1997-11-16T00:00:00Z
review text: It is well-known that evaluating suitable functions on torsion points of elliptic curves over number fields yield units and those elliptic units are very useful in arithmetic. Some efforts have been made to extend this to higher genus curves, for instance, \textit{D. Grant} [Compos. Math. 94, No. 3, 311-320 (1994; Zbl 0828.11033)], treated the case of genus two and 3- and 4-torsion. The author works with genus 3 hyperelliptic curves and 3-torsion, producing algebraic integers which are units away from 3.
reviewed by: José Felipe Voloch
Mathematics Subject Classification ID: 11G30
Mathematics Subject Classification ID: 14H40
zbMATH DE Number: 998497
zbMATH Keywords: \(S\)-units
zbMATH Keywords: hyperelliptic curves
zbMATH Keywords: Jacobians of curves
MaRDI profile type: Publication
full work available at URL: jnth.1997.2073
OpenAlex ID: W2074610298
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DOI: 10.1006/JNTH.1997.2073
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description: scientific article; zbMATH DE number 998497