Keywords and phrases: Mordell-Weil group, Jacobian, linear system.
Received: March 25, 2023; Accepted: July 3, 2023; Published: August 23, 2023
How to cite this article: Mohamadou Mor Diogou Diallo and Moussa Fall, Parametrization of algebraic points of a family of Arnthjensen-Flynn hyperelliptic curves of a given degree, JP Journal of Algebra, Number Theory and Applications 62(1) (2023), 35-49. http://dx.doi.org/10.17654/0972555523020
This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License
References: [1] Nils Bruin and Michael J. Stoll, The Mordell-Weil sieve: proving the nonexistence of rational points on curves, LMS Journal of Computing Mathematics 13 (2010), 272-306. [2] Robert F. Coleman, Effective Chabauty method, Duke Math. J. 52 (1985), 765-770. [3] Gerd Faltings, Finiteness theorems for abelian varieties over number fields, Invent. Math. 73 (1983), 349-366. [4] Anna Arnth-Jensen and E. Victor Flynn, Non-trivial III in the Jacobian of an infinite family of curves of genus 2, J. Théor. Nombres Bordeaux 21 (2009), 1-13. [5] Samir Siksek and Michael Stoll, Partial descent on hyperelliptic curves and the generalized Fermat equation Bull. Lond. Math. Soc. 44 (2012), 151-166. [6] P. A. Griffiths, Introduction to algebraic curves, Translation Mathematical Monographs, American Mathematical Society, Providence, Vol. 76, 1989.
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