论文标题
解决雷蒙德的猜想的新方法
A new way to tackle a conjecture of Rémond
论文作者
论文摘要
令$γ\ subset \ bar {\ mathbb {q}}}^*$为有限生成的子组。用$γ_\ mathrm {div} $表示其分区组。与Zilber-Pink猜想有关的最新猜想预测，$ \ Mathbb {Q}元素的绝对对数高度的高度（γ__\ Mathrm {div}）^*\ Backslashγ_{\ Mathrm {\ Mathrm {div}} $ pottort positive n positive n positive。在本文中，我们提出了一种解决这个问题的新方法。
Let $Γ\subset \bar{\mathbb{Q}}^*$ be a finitely generated subgroup. Denote by $Γ_\mathrm{div}$ its division group. A recent conjecture due to Rémond, related to the Zilber-Pink conjecture, predicts that the absolute logarithmic Weil height of an element of $\mathbb{Q}(Γ_\mathrm{div})^*\backslash Γ_{\mathrm{div}}$ is bounded from below by a positive constant depending only on $Γ$. In this paper, we propose a new way to tackle this problem.
