Algebraic points on the hyperelliptic curves \(y^2 = x^5 + n^2\)
DOI10.2478/aupcsm-2023-0003zbMath1517.14021OpenAlexW4376470762MaRDI QIDQ6174171
Moussa Fall, Unnamed Author, Oumar Sall
Publication date: 14 July 2023
Published in: Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2478/aupcsm-2023-0003
Algebraic field extensions (12F05) Plane and space curves (14H50) 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)] Higher degree equations; Fermat's equation (11D41) Global ground fields in algebraic geometry (14G25)
Cites Work
- Computing a Selmer group of a Jacobian using functions on the curve
- On the arithmetic of the curves \(y^2=x^l+A\). II
- Implementing 2-descent for Jacobians of hyperelliptic curves
- On the arithmetic of the curves o y2 = xℓ + A and their Jacobians
- ON THE L-FUNCTION OF THE CURVES $\lowercase{y}^2 = \lowercase{x}^5 + A$
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