Holomorphic Curves into ■~N(C) That Share a Set of Moving Hypersurfaces

被引：0

作者：

YANG LIU ^{[1
]}

机构：

[1] School of Mathematics & Physics Science and Engineering,Anhui University of Technology

来源：

Communications in Mathematical Research | 2019年 / 35卷 / 02期

关键词：

Holomorphic mapping; normal family; value distribution theory; complex projective space; hypersuface;

D O I：

10.13447/j.1674-5647.2019.02.01

中图分类号：

O186.11 [古典微分几何];

学科分类号：

0701 ; 070101 ;

摘要：

Let F be a family of holomorphic curves of a domain D in C into a closed subset X in ■~N(C). Let Q(z),…, Q(z) be moving hypersurfaces in ■~N(C) located in pointwise t-subgeneral position with respect to X. If each pair of curves f and g in F share the set {Q(z),…, Q(z)}, then F is normal on D. This result greatly extend some earlier theorems related to Montel’s criterion.

引用

页码：97 / 105

页数：9

共 11 条

[1] NORMAL FAMILIES OF HOLOMORPHIC MAPPINGS INTO COMPLEX PROJECTIVE SPACE CONCERNING SHARED HYPERPLANES
Yang, Liu
Fang, Caiyun
Pang, Xuecheng
[J]. PACIFIC JOURNAL OF MATHEMATICS, 2014, 272 (01) : 245 - 256
[2] Uniqueness theorems for holomorphic curves sharing moving hypersurfaces
Ha Tran Phuong
[J]. COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2013, 58 (11) : 1481 - 1491
[3] Normal criterion for families of holomorphic maps of several complex variables into P N ( C ) with moving hypersurfaces[J] . Tu Zhenhan,Cao Hongzhe.Acta Mathematica Scientia . 2009 (1)
[4] Holomorphic curves into algebraic varieties
Ru, Min
[J]. ANNALS OF MATHEMATICS, 2009, 169 (01) : 255 - 267
[5] A Picard Type Theorem for Holomorphic Curves[J] . A. Eremenko.Periodica Mathematica Hungarica . 1999 (1)
[6] On families of meromorphic maps into the complex projective space[J] . Hirotaka Fujimoto.Nagoya Mathematical Journal . 1974
[7] Holomorphic maps into complex projective space omitting hyperplanes[J] . Mark L. Green.tran . 1972
[8] Extensions of the big Picard's theorem[J] . Hirotaka Fujimoto.Tohoku Mathematical Journal . 1972 (3)
[9] Normal families of holomorphic mappings[J] . H. Wu.Acta Mathematica . 1967 (1)
[10] A criterion for normality in Cn{\bf C}^n .2 Gerardo Aladro,Steven G. Krantz. J. Math. Anal. Appl . 1991

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