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全纯曲线正规族分担超平面

ZHENG Xiaojie,LIU Xiaojun

Journal of University of Shanghai for Science and Technology（2021）

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Abstract
利用亚纯函数值分布理论和正规族理论、线性代数理论及研究方法,研究了全纯曲线族分担超平面的正规性.设F是从D?C到P3(C)的一族全纯映射,HO和Hl(Hl≠HO)是P3(C)上处于一般位置的超平面,l=1, 2,…, 8.假定对于任意的f∈F满足条件:f(z)∈Hl当且仅当?f∈Hl={x∈P3(C):=0} 若f(z)∈Hl的并集,有||/(‖f‖‖HO‖)大于或等于δ.0＜δ＜1,δ是常数,则F在D上正规.
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Key words
holomorphic curve,hyperplane,normal family,value sharing
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