Keywords and phrases: Chevalley-Weil theorem, Faltings theorem, Fermat curve, rational points.
Received: February 25, 2023; Accepted: March 27, 2023; Published: April 20, 2023
How to cite this article: Moustapha Camara, Moussa Fall and Oumar Sall, Algebraic points of degree at most 2 on the affine curves , JP Journal of Algebra, Number Theory and Applications 61(2) (2023), 109-115. http://dx.doi.org/10.17654/0972555523013
This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License
References:
[1] B. Gross and D. Rohrlich, Some results on the Mordell-Weil group of the Jacobian of the Fermat curve, Invent. Math. 44 (1978), 201-224. [2] G. Faltings, Endlichkeitsätze für abelsch Varietäten über Zahlkörpen, Invent. Math. 73 (1983), 349-366. [3] M. Hindry and J. H. Silverman, Diophantine geometry, an introduction, Graduate Texts in Mathematics 201, Springer-Verlag, 2000.
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