斜率有界性和等分布定理

Pub Date : 2024-04-05 DOI:10.1093/imrn/rnae057

Wenbin Luo

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引用次数: 0

摘要

在本文中，我们证明了特征 $0$ 的函数域上的阿德尔线束的最小斜率的有界性。这可用于证明关于大且半正的 adelic 线束的一般点和小点的等分布。我们的方法也可以应用于数域的有限位置。我们还证明了函数场上$chi$卷的连续性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Slope Boundedness and Equidistribution Theorem

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 $\chi $-volumes over function fields.

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