关于孤立性定理

On the Theorem of the Isolated Points

代数体函数的第二基本定理是在不可约情况下推出的,利用分支点的估计式,证明了一个孤立性定理,然后在较宽的条件下证明了分支点定理,因此推广了重要的代数体函数第二基本定理的使用条件.

The second fundamental theorem of algebroid functions is held for the irreducible algebroid functions,because it is used that the evaluation of the branch points of algebroid functions in its proof.In the paper,firstly a theorem of the isolated points and the theorem of branch points are proved under the wide condition.Then the use conditions of the second fundamental theorem of algebroid functions are improved.