论文标题
添加剂封面和规范基础属性
Additive covers and the Canonical Base Property
论文作者
论文摘要
我们为迄今为止仅由Hrushovski，Palacin和Pillay制作的仅众所周知的反例中的规范基础属性（CBP）提供了新的方法。为此，我们将提供反例的替代介绍，作为代数封闭字段的添加剂封面。我们隔离了CBP的两个根本弱点，这些弱点已经出现在Chatzidakis的工作中，并表明它们不在反例中。为此，开发了对添加剂覆盖物中的想象力的研究，以消除有限的想象力，从而与CBP建立了联系。作为演示文稿的副产品，我们注意到无法提供CBP的纯Galois理论说明。
We give a new approach to the failure of the Canonical Base Property (CBP) in the so far only known counterexample, produced by Hrushovski, Palacin and Pillay. For this purpose, we will give an alternative presentation of the counterexample as an additive covers of an algebraically closed field. We isolate two fundamental weakenings of the CBP, which already appeared in work of Chatzidakis, and show that they do not hold in the counterexample. In order to do so, a study of imaginaries in additive covers is developed, for elimination of finite imaginaries yields a connection to the CBP. As a by-product of the presentation, we notice that no pure Galois-theoretic account of the CBP can be provided.
