Moishezon态射的模型论对应
A model-theoretic counterpart to Moishezon morphisms
摘要：
在这份说明中，一个自然加强内在性的动机复杂的几何形状，是“Moishezon”的一组类型，介绍。在Pillay的规范基性质的假设下，并利用Chatzidakis的结果，给出了一个判别条件，当一个有限U秩的固定型是一个非模极小型的内部时，它实际上是Moishezon的所有非模极小型的集合.这一结果是一个模型理论的模拟（一个特殊情况）坎帕纳的“第一代数性标准”。其他相关的抽象复杂的几何形状，包括“codreductions”和“生成纤维化”也进行了讨论。
英文摘要：
In this note a natural strengthening of internality motivated by complex geometry, being "Moishezon" to a set of types, is introduced. Under the hypothesis of Pillay's canonical base property, and using results of Chatzidakis, a criterion is given for when a finite U-rank stationary type that is internal to a nonmodular minimal type is in fact Moishezon to the set of all nonmodular minimal types. This result is a model-theoretic analogue of (a special case of) Campana's "first algebraicity criterion". Other related abstractions from complex geometry, including "coreductions" and "generating fibrations" are also discussed.
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