ALGEBRAIC CURVES WITH SMALL GENUS AND SHARP CHABAUTY-COLEMAN’S BOUND
The Chabauty-Coleman bound gives an upper bound of the set of rational points on an algebraic curve whose Mordell-Weil rank of its Jacobian is less than its genus. In this paper, we construct algebraic curves of small genus which meet this bound in a prime p of good reduction.
sharp curve, Jacobian, rank Mordell-Weil, Coleman bound
Received: February 9, 2024; Revised: March 7, 2024; Accepted: March 29, 2024; Published: May 23, 2024
How to cite this article: Regis Freguin Babindamana, Brice Miayoka Moussolo and Bossoto, Algebraic curves with small genus and sharp Chabauty-Coleman’s bound, JP Journal of Algebra, Number Theory and Applications 63(4) (2024), 363-381. https://doi.org/10.17654/0972555524022
This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License
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