On the torsion problem in Jacobians of curves of genus 2 over the rational number field

DOI10.1134/S1064562412050304zbMath1345.11045OpenAlexW2166668812MaRDI QIDQ1930838

M. M. Petrunin, B. P. Platonov

Publication date: 14 January 2013

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

Full work available at URL: https://doi.org/10.1134/s1064562412050304

zbMATH Keywords

hyperelliptic curvesJacobiansfundamental units

Mathematics Subject Classification ID

Arithmetic ground fields for curves (14H25) 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)]

Related Items (7)

Fundamental \(S\)-units in hyperelliptic fields and the torsion problem in Jacobians of hyperelliptic curves ⋮ On the simplicity of Jacobians for hyperelliptic curves of genus 2 over the field of rational numbers with torsion points of high order ⋮ Unnamed Item ⋮ ОБОБЩЕННЫЕ ЯКОБИАНЫ И НЕПРЕРЫВНЫЕ ДРОБИ В ГИПЕРЭЛЛИПТИЧЕСКИХ ПОЛЯХ ⋮ New curves of genus 2 over the field of rational numbers whose Jacobians contain torsion points of high order ⋮ Аналитические и теоретико-числовые свойства двумерных сигма-функций ⋮ Genus-2 Jacobians with torsion points of large order

Cites Work

• A new local-global principle for quadratic function fields
• Arithmetic of quadratic fields and torsion in Jacobians
• New orders of torsion points in Jacobians of curves of genus 2 over the rational number field

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