论文标题
当地的合成原理Kahler几何形状
Principles of Locally Conformally Kahler Geometry
论文作者
论文摘要
LCK（局部在局部kahler）歧管是一个复杂的歧管，该歧管允许同种菌的单层作用的卡勒覆盖。 Hopf歧管及其子手法是主要例子。本书介绍了LCK几何学原理（前两个部分）及其当前情况（最后一部分）的介绍。复杂几何学的硕士和研究生应该可以使用它。该书包含许多不同级别的难度练习。我们通过一系列空旷的问题来完成它。
An LCK (locally conformally Kahler) manifold is a complex manifold admitting a Kahler covering with monodromy acting by homotheties. Hopf manifolds and their submanifolds are the prime examples. This book presents an introduction to the principles of LCK geometry (the first two parts) and its current situation (the last part). It is supposed to be accessible to master and graduate students of complex geometry. The book contains many exercises of different levels of difficulty. We finish it by a list of open questions.
