论文标题
Zilber的二分法，用于差异封闭的域名
Zilber's Dichotomy for Differentially Closed Fields with an Automorphism
论文作者
论文摘要
特征零特征差异字段的理论具有由$ \ it it dcfa $表示的模型兼容性。以前，我们证明了Zilber的二分法的薄弱版本。在本文中，我们使用Moosa，Pillay和Scanlon开发的ARC空间技术来抑制之前所需的额外假设，并证明了$ \ IT DCFA $的完整Zilber的二分法，我们还声明这些技术如何推广到具有自多态性的部分差异领域。
The theory of difference-differential fields of characteristic zero has a model-companion denoted by $\it DCFA$. Previously we proved a weak version of Zilber's dichotomy for $\it DCFA$. In this paper we use arc spaces techniques as developed by Moosa, Pillay and Scanlon to suppress the extra hypothesis needed before and prove the full Zilber's dichotomy for $\it DCFA$, we also state how these techniques generalise to partial differential fields with an automorphism.
