Determining the rational points on a curve of genus 2 and Mordell-Weil rank 1
Michael Stoll
公開日: 2025/9/29
Abstract
We explain how one can efficiently determine the (finite) set of rational points on a curve of genus 2 over $\mathbb Q$ with Jacobian variety $J$, given a point $P \in J(\mathbb Q)$ generating a subgroup of finite index in $J(\mathbb Q)$.