论文标题
相对Bogomolov猜想的结果
A consequence of the relative Bogomolov conjecture
论文作者
论文摘要
我们提出了相对Bogomolov猜想的表述，并表明它对Mazur关于Mordell-Lang猜想的曲线的统一性给出了肯定的答案。特别是我们表明，相对Bogomolov的猜想意味着曲线的统一Manin-Mumford猜想。该证明是基于我们以前的“曲线中莫德尔 - 朗的统一性”的作品建立的。
We propose a formulation of the relative Bogomolov conjecture and show that it gives an affirmative answer to a question of Mazur's concerning the uniformity of the Mordell-Lang conjecture for curves. In particular we show that the relative Bogomolov conjecture implies the uniform Manin-Mumford conjecture for curves. The proof is built up on our previous work "Uniformity in Mordell-Lang for curves".
