Open Access
VOL. 1 | 2018 Chapter 4. Points algébriques de degré donné sur la courbe de Picard
Chapter Author(s) 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 Q on the Picard curve given by y3=x41. This result extends a previous result of Klassen and Schaefer(1996) on the set of algebraic points of degree at most 3 over 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

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

Rights: Copyright © 2018 The Statistics and Probability African Society

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