Model Theory and Complex Geometry
Model Theory and Complex Geometry
复制标题
模型理论与复杂几何
DOI：
--
复制
发表时间：
2009
期刊：
影响因子：
--
通讯作者：
Rahim Moosa
中科院分区：
文献类型：
--
作者：
Rahim Moosa
M Odel理论是数学逻辑的一个分支，其技术已被证明在几个学科中很有用，包括代数，代数几何和数理论。过去的十五年还看到了模型理论在双形形态几何形状上的应用，这是对紧凑型复杂流形的研究，直到双形词对等效。在本文中，我将尝试解释为什么逻辑应该对紧凑的复杂歧管有话要说。我的主要重点将是通过模型理论方法获得的双形态几何形状的结果以及模型理论所提出的有关紧凑的复杂歧管的问题。
M odel theory is a branch of mathematical logic whose techniques have proven to be useful in several disciplines, including algebra, algebraic geometry, and number theory. The last fifteen years have also seen the application of model theory to bimeromorphic geometry, which is the study of compact complex manifolds up to bimeromorphic equivalence. In this article I will try to explain why logic should have anything to say about compact complex manifolds. My primary focus will be on the results in bimeromorphic geometry obtained by model-theoretic methods and the questions about compact complex manifolds that model theory poses.