我们主要研究代数体函数和全纯曲线的以下三个问题： .1、研究全纯曲线关于小曲线的偏差量b(a,f)的和的上界估计问题；.2、研究代数体函数和全纯曲线的关于一致度量的第二基本定理；.3、研究具有径向分布值的代数体函数和全纯曲线的增长性问题。

We mainly investigate the following three questions of algebroid fucntions and holomorphic curves:.1 We will investigate the upper bound of the sums of the deviation b(a,f) of a holomorphic curves f(z) respect to a small curve a(z);.2 We will investigate the second main theorem of algebroid function and holomorphic curves for a uniform metric;.3 We will investigate the growth of algebroid functions and holomorphic curves with radially values.