论文标题
在过纤维纤维上合理点的均匀边界
Uniform bounds for rational points on hyperelliptic fibrations
论文作者
论文摘要
我们应用方形的变体来产生一个均匀的上限,以在一个表面家族的有界高度的理性点数量上,该界面接收了弹性线上的纤维,其一般纤维是高纤维曲线。
We apply a variant of the square-sieve to produce a uniform upper bound for the number of rational points of bounded height on a family of surfaces that admit a fibration over the projective line, whose general fibre is a hyperelliptic curve.