Algebraic points of small degrees on the curve given by affine equation \(y^2=x^5+1\)

DOI10.1007/s13370-018-0610-4zbMath1405.11036OpenAlexW2884801443MaRDI QIDQ1715769

Moussa Fall, Oumar Sall

Publication date: 29 January 2019

Published in: Afrika Matematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13370-018-0610-4

zbMATH Keywords

Jacobianrational pointsplane curvesalgebraic extensionsdegree of algebraic points

Mathematics Subject Classification ID

Rational points (14G05) Arithmetic ground fields for curves (14H25) Plane and space curves (14H50) Jacobians, Prym varieties (14H40) [https://zbmath.org/classification/?q=cc:11G30 Curves of arbitrary genus or genus ( e 1) over global fields (11G30)] Rational numbers as sums of fractions (11D68)

Related Items

Algebraic Points of Any Degree on the Affine Curve y 2 = x(x 2 + 1)(x 2 + 3)

Cites Work

• Computing a Selmer group of a Jacobian using functions on the curve
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