Parameterization of algebraic points of a given degree on the curve of the affine equation \(y^3=x(x - 1)(x - 2)(x - 3)\)

DOI10.1016/j.crma.2010.10.023zbMath1218.11066OpenAlexW2019210571MaRDI QIDQ611152

Moussa Fall, Oumar Sall, Thiéyacine Top

Publication date: 14 December 2010

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2010.10.023

zbMATH Keywords

JacobianMordell-Weil groupcurves over global fields

Mathematics Subject Classification ID

Arithmetic ground fields for curves (14H25) Special algebraic curves and curves of low genus (14H45) [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)] Global ground fields in algebraic geometry (14G25)

Related Items (1)

Algebraic points on the curve of affine equation \(y^2 = x(x-3)(x-4)(x-6)(x-7)\)

Cites Work

• Some results on the Mordell-Weil group of the Jacobian of the Fermat curve
• Computing a Selmer group of a Jacobian using functions on the curve

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