论文标题
带有尖锐的chabauty-oleman绑定的曲线
Curves with sharp Chabauty-Coleman bound
论文作者
论文摘要
我们构建了每个属$ g \ geq 2 $的曲线，对于Coleman的有效Chabauty Bound是敏锐的，如果满足等级条件，则可以应用Coleman定理来确定合理点。我们给出了众多属属的例子，并为Coleman的界限锋利的一条曲线列为一条曲线。基于这些曲线之一，我们构建了第五属曲线的示例，其理性点与科尔曼定理一起使用下降法确定。
We construct curves of each genus $g\geq 2$ for which Coleman's effective Chabauty bound is sharp and Coleman's theorem can be applied to determine rational points if the rank condition is satisfied. We give numerous examples of genus two and rank one curves for which Coleman's bound is sharp. Based on one of those curves, we construct an example of a curve of genus five whose rational points are determined using the descent method together with Coleman's theorem.
