Torsion points of order 2𝑔+1 on odd degree hyperelliptic curves of genus 𝑔

DOI10.1090/tran/8235zbMath1465.14031arXiv1902.02743OpenAlexW3044514249MaRDI QIDQ5130414

Boris M. Bekker, Yuri G. Zarhin

Publication date: 4 November 2020

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

Full work available at URL: https://arxiv.org/abs/1902.02743

zbMATH Keywords

hyperelliptic curvesJacobianstorsion points

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) 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)] Other nonalgebraically closed ground fields in algebraic geometry (14G27)

Related Items (5)

Torsion points of small order on hyperelliptic curves ⋮ Weierstrass semigroups from cyclic covers of hyperelliptic curves ⋮ On the number of points of given order on odd-degree hyperelliptic curves ⋮ Versal families of elliptic curves with rational 3-torsion ⋮ Pell-Abel equation and applications

Cites Work

• Unnamed Item
• Courbes sur une variété abélienne et points de torsion
• 5-TORSION POINTS ON CURVES OF GENUS 2
• On the Discriminant of a Hyperelliptic Curve
• Examples of torsion points on genus two curves
• The Manin-Mumford Conjecture: A Brief Survey
• Division by $2$ of rational points on elliptic curves
• Division by on odd-degree hyperelliptic curves and their Jacobians

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