论文标题
坡度有限和等分定理
Slope boundedness and Equidistribution theorem
论文作者
论文摘要
在本文中，我们证明了Adelic Line束的最小斜率在特征0的功能字段上的界限。这可以应用于相对于大型和半阳性的Adelic Line束的通用和小点的等分。我们的方法也可以应用于有限的数字字段。我们还显示了功能字段上$χ$ - 元素的连续性。
In this article, we prove the boundedness of minimal slopes of adelic line bundles over function fields of characteristic 0. This can be applied to prove the equidistribution of generic and small points with respect to a big and semipositive adelic line bundle. Our methods can be applied to the finite places of number fields as well. We also show the continuity of $χ$-volumes over function fields.
