Open Access
VOL. 1 | 2018 Chapter 4. Points algébriques de degré donné sur la courbe de Picard
Moussa FALL, Oumar SALL

Editor(s) Hamet SEYDI, Gane Samb LO, Aboubakary DIAKHABY


We give a parameterization of the algebraic points of given degree over $\mathbb{Q}$ on the Picard curve given by $y^{3}=x^{4}-1$. This result extends a previous result of Klassen and Schaefer(1996) on the set of algebraic points of degree at most $3$ over $\mathbb{Q}$ in the same curve.


Published: 1 January 2018
First available in Project Euclid: 26 September 2019

Digital Object Identifier: 10.16929/sbs/2018.100-01-04

Primary: 11D68 , 12F05 , 14H50 , 14hH40

Keywords: algebraic points of given degree , Jacobian , linear system , Picard curve

Rights: Copyright © 2018 The Statistics and Probability African Society

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