论文标题
对Bloch原理的反例及其在几个复杂变量中的相反
Counterexamples to Bloch's Principle and its Converse in Several Complex Variables
论文作者
论文摘要
在本文中,除了对Bloch原则的反例外,还证明了在几个复杂变量中与Bloch原理相反的反例的正态性标准。还获得了一些PICARD型定理及其在$ \ mathbb c^{n} $中的相应正态性标准。
In this paper, besides a counterexample to Bloch's principle, normality criteria leading to counterexamples to the converse of Bloch's principle in several complex variables are proved. Some Picard-type theorems and their corresponding normality criteria in $\mathbb C^{n}$ are also obtained.