We give an elementary construction of an arbitrary differentially closed field and of a universal differential extension of a differential field in terms of Nash function fields. We also give a characterization of any Archimedean ordered differentially closed field in terms of Nash functions.

中文翻译：

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特征零的任意微分闭合场的几何模型

我们根据纳什函数域给出了任意微分封闭域和微分域的通用微分扩展的基本构造。我们还根据纳什函数给出了任何阿基米德有序微分闭场的表征。