$t$-模的可一致化族
Uniformizable families of $t$-motives
摘要：
交换$t$-模和$t$-模的对偶概念是Anderson作为Drinfeld模的推广而引入的。为此，安德森定义并研究了可一致化性的重要概念。这是一个有趣的问题，也是本文的主要目的，看看可单化性在族中的表现。由于可一致化性是一个分析概念，我们必须在严格的分析基础上处理族。我们提供了许多基本的结果，实际上，本文的大部分集中在为研究上述问题奠定基础。在此基础上，我们得到了一个推广的均匀化标准的安德森，除其他事项外，我们建立的轨迹均匀化是Berkovich开放。
英文摘要：
Abelian $t$-modules and the dual notion of $t$-motives were introduced by Anderson as a generalization of Drinfeld modules. For such Anderson defined and studied the important concept of uniformizability. It is an interesting question, and the main objective of the present article to see how uniformizability behaves in families. Since uniformizability is an analytic notion, we have to work with families over a rigid analytic base. We provide many basic results, and in fact a large part of this article concentrates on laying foundations for studying the above question. Building on these, we obtain a generalization of a uniformizability criterion of Anderson and, among other things, we establish that the locus of uniformizability is Berkovich open.
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