On the number of points of given order on odd-degree hyperelliptic curves

DOI10.1216/rmj.2023.53.357zbMath1530.14055arXiv2008.05253OpenAlexW4381514741MaRDI QIDQ6170582

John L. Boxall

Publication date: 10 August 2023

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.05253

zbMATH Keywords

hyperelliptic curvestorsion pointsJacobian varieties

Mathematics Subject Classification ID

Special algebraic curves and curves of low genus (14H45) Jacobians, Prym varieties (14H40) Positive characteristic ground fields in algebraic geometry (14G17)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Courbes sur une variété abélienne et points de torsion
• Torsion points on theta divisors and semihomogeneous vector bundles
• Computing Torsion Points on Curves
• 5-TORSION POINTS ON CURVES OF GENUS 2
• DETERMINANT EXPRESSIONS FOR HYPERELLIPTIC FUNCTIONS
• On the analogue of the division polynomials for hyperelliptic curves.
• On $\psi$-invariant subvarieties of semiabelian varieties and the Manin-Mumford conjecture
• Division by on odd-degree hyperelliptic curves and their Jacobians
• Torsion points of order 2𝑔+1 on odd degree hyperelliptic curves of genus 𝑔

This page was built for publication: On the number of points of given order on odd-degree hyperelliptic curves