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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

## Abstract

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.

## Information

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

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

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