从圆环到紧黎曼曲面上全纯映射的第二基本定理

Second main theorem for holomorphic maps from annuli into compact riemann surfaces

通过定义一个在圆环A(r)={z∈C:1/r<|z|<r}上的次调和函数的一个特殊的流,全纯映射的特征函数和Green-Jensen公式,进而得到了圆环到紧黎曼曲面上全纯映射的第二基本定理。

In this paper,by introducing the current of sub-harmonic functions on the annuli A（r）={z∈C：1/r｜z｜r},the characteristic function of holomorphic maps,and the annulus＇ version of the Green-Jensen＇s Formula,we mainly obtain the second main theorem for holomorphic maps from annuli into compact Riemann surfaces.