解析空间的几何极小模型
The geometric minimal models of analytic spaces
摘要：
本文证明了解析空间$X$有唯一的极大模型，通过该极大模型，从非奇异解析空间到$X$因子的每一真满射都可以得到。这被称为$X$的{ \sl几何极小模型}，其特征在于有理曲线的收缩性质。本文还研究了几何极小模型的函数性、直积性和商性等性质。讨论了几何极小模型与Mori的极小模型的关系。
英文摘要：
This paper shows that an analytic space $X$ has a unique maximal model through which every proper surjective morphism from a non-singular analytic space to $X$ factors. This is called the {\sl geometric minimal model} of $X$ and characterized by the contraction property of rational curves. Some other properties such as functoriality, the direct product property and the quotient property of the geometric minimal model are also studied here. The relation of the geometric minimal model with Mori's minimal model is discussed.
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