摘要: 本文基于值分布理论和正规族理论以及高等代数相关知识及研究方法，将复射影空间的全纯曲线族与导曲线相结合，对全纯曲线族分担超平面的正规性进行了研究，得到了
N = 4时全纯曲线的正规性。设
是从
到
的一族全纯映射，
是
上处于一般位置的超平面，其中
，
。假定对任意的
满足条件：
当且仅当
，
；若
的并集，则有
大于或等于
，
，
是常数，则
在
D上正规。
Abstract:
This article is based on value distribution theory, normal family theory, and advanced algebra related knowledge and research methods. It combines the family of holomorphic curves in complex projective spaces with derivative curves to study the normality of holomorphic curve families sharing hyperplanes, and obtain the normality of holomorphic curves at
N = 4. Let
be a family of holomorphic maps of a domain
into
. Let
be hyperplanes in
located in general position, where
,
. Assume the following conditions hold for every
:
belongs to
, if and only if
belongs to
,
; if
belongs to the union set of
, then
is equal or greater than
,
where
is a constant. Then
is normal on
D.