2 papers
math.NT2025
Rational and isolated quadratic points on hyperelliptic curves of rank 0 and small genus
Brice Miayoka Moussolo
In this article, we present a method for computing rational points on hyperelliptic curves of genus~3 and isolated quadratic points on hyperelliptic curves of genus~2 and~3 whose J…
math.NT2023
Rational Points of some genus curves from the rank quotient strategy
Tony Ezome, Brice Miayoka Moussolo, Régis Freguin Babindamana
In 1922, Mordell conjectured that the set of rational points on a smooth curve over with genus is finite. This has been proved by Faltings in 1983. Howev…