Curves of genus 2 with a rational torsion divisor of order 23
type: Item
instance of: scholarly article
title: Curves of genus 2 with a rational torsion divisor of order 23
zbMATH Open document ID: 0838.14021
author: Hiroyuki Ogawa
published in: Proceedings of the Japan Academy. Series A
publication date: 1996-06-03T00:00:00Z
review text: The main result of this paper is that there exists a curve of genus 2 defined over \(\mathbb Q(t)\) with a rational torsion divisor of order 23. As a corollary, the author shows that there exist infinitely many curves of genus 2 over \(\mathbb Q\) with a rational torsion divisor of order 23. This complements work of \textit{E. V. Flynn} [J. Number Theory 36, No. 3, 257--265 (1990; Zbl 0757.14025)] and \textit{F. Leprévost} [C. R. Acad. Sci., Paris, Sér. I 313, No. 7, 451--454 (1991; Zbl 0758.14016), 313, No. 11, 771--774 (1991; Zbl 0758.14017)], who proved similar results for other orders.
reviewed by: Juan C. Migliore
Mathematics Subject Classification ID: 14H45
Mathematics Subject Classification ID: 14G05
Mathematics Subject Classification ID: 11G30
zbMATH DE Number: 751384
zbMATH Keywords: curve of genus 2
zbMATH Keywords: torsion divisor of order 23
MaRDI profile type: Publication
full work available at URL: pjaa.70.295
OpenAlex ID: W2008852104
cites work: Large rational torsion on abelian varieties
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cites work: Arithmetic variety of moduli for genus two
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DOI: 10.3792/PJAA.70.295
description: scientific article; zbMATH DE number 751384