紧Riemann曲面上的亚纯函数与值共享

Complex Variables, Theory and Application: An International Journal Pub Date : 2005-12-01 DOI:10.1080/02781070500303247

E. Ballico

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引用次数: 4

摘要

设X是X上的g属和f: X P1, h: X P1的光滑连通黎曼曲面。固定一个整数n 4，并假设存在n个不同的点a1，，和P1，使得[图像省略](集合理论)对每一个i。这里我们证明了f = h或[图像省略]。

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Meromorphic functions on compact Riemann surfaces and value sharing

Let X be a smooth and connected Riemann surface of genus g 0 and f: X P1, h: X P1 non-constant meromorphic functions on X. Fix an integer n 4 and assume the existence of n distinct points a1, , an P1 such that [image omitted] (set-theoretically) for every i. Here we prove that either f = h or [image omitted].

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Complex Variables, Theory and Application: An International Journal

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