闭子模式的Birational Nevanlinna常数、Beta常数和丢番图近似

IF 0.3 4区数学 Q4 MATHEMATICS Journal De Theorie Des Nombres De Bordeaux Pub Date : 2020-08-02 DOI:10.5802/jtnb.1237

Paul Vojta

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引用次数: 3

摘要

在之前的一篇论文中(与Min Ru合著)，我们证明了Cartier除数的丢芬图近似的一个结果，扩展了P. Autissier 2011年的结果。最近，Ru和Wang将其扩展到某些封闭子方案(代替除数)。在本文中，我们将这一结果推广到更广泛的闭子方案。我们还证明了$\beta(\mathscr L,D)$的一些概念是重合的，并且它们都可以被计算为极限。

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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Birational Nevanlinna Constants, Beta Constants, and Diophantine Approximation to Closed Subschemes

In an earlier paper (joint with Min Ru), we proved a result on diophantine approximation to Cartier divisors, extending a 2011 result of P. Autissier. This was recently extended to certain closed subschemes (in place of divisors) by Ru and Wang. In this paper we extend this result to a broader class of closed subschemes. We also show that some notions of $\beta(\mathscr L,D)$ coincide, and that they can all be evaluated as limits.

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