Number-theoretic properties of hyperelliptic fields and the torsion problem in Jacobians of hyperelliptic curves over the rational number field

DOI10.1070/RM2014v069n01ABEH004877zbMath1305.11096OpenAlexW2079435275MaRDI QIDQ4979754

Vladimir Platonov

Publication date: 19 June 2014

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm2014v069n01abeh004877

zbMATH Keywords

fast algorithmshyperelliptic curvescontinued fractionsfundamental unitslocal-global principleJacobian varietieshyperelliptic fieldstorsion problem in Jacobians

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Units and factorization (11R27) 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)]

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Uses Software

• Maple
• SageMath

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