On hyperelliptic curves of odd degree and genus \(g\) with six torsion points of order \(2g + 1\)

DOI10.1134/S1064562424702193MaRDI QIDQ6644119

G. V. Fedorov

Publication date: 27 November 2024

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

hyperelliptic curveJacobian varietytorsion pointsFlynn-Leprévost method

Mathematics Subject Classification ID

Algebraic number theory: global fields (11Rxx) Arithmetic algebraic geometry (Diophantine geometry) (11Gxx) Curves in algebraic geometry (14Hxx)

Cites Work

• Title not available (Why is that?)
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• Large rational torsion on abelian varieties
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• Generalized jacobian varieties
• 5-TORSION POINTS ON CURVES OF GENUS 2
• On the Discriminant of a Hyperelliptic Curve
• On the problem of periodicity of continued fractions in hyperelliptic fields
• Division by on odd-degree hyperelliptic curves and their Jacobians
• Number-theoretic properties of hyperelliptic fields and the torsion problem in Jacobians of hyperelliptic curves over the rational number field
• Torsion points of order 2𝑔+1 on odd degree hyperelliptic curves of genus 𝑔
• On the classification problem for polynomials with a periodic continued fraction expansion of in hyperelliptic fields
• On the finiteness of the set of generalized Jacobians with nontrivial torsion points over algebraic number fields
• Continued fractions and the classification problem for elliptic fields over quadratic fields of constants

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