Elliptic curves with common torsion 𝑥-coordinates and hyperelliptic torsion packets

DOI10.1090/proc/16102OpenAlexW4224068093MaRDI QIDQ5039237

Hang Fu, Michael Stoll

Publication date: 12 October 2022

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.09766

zbMATH Keywords

elliptic curveshyperelliptic curvestorsion pointstorsion packets

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Special algebraic curves and curves of low genus (14H45) Elliptic curves (14H52) Jacobians, Prym varieties (14H40) [https://portal.mardi4nfdi.de/w/index.php?title=+Special%3ASearch&search=%22Curves+of+arbitrary+genus+or+genus+%28%0D%0Ae+1%29+over+global+fields%22&go=Go Curves of arbitrary genus or genus ( e 1) over global fields (11G30)]

Cites Work

• Unnamed Item
• Division polynomials and intersection of projective torsion points
• Courbes sur une variété abélienne et points de torsion
• Galois theory and torsion points on curves.
• Uniformity in Mordell-Lang for curves
• Uniform Manin-Mumford for a family of genus 2 curves
• Computing Torsion Points on Curves
• Arithmetic on curves
• Genus-two curves with 22 torsion points
• Torsion of elliptic curves and unlikely intersections

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