DEGENERACY THEOREMS FOR TWO HOLOMORPHIC CURVES IN Pn(C) SHARING FEW HYPERSURFACES

被引：0

作者：

Zhou, Kai ^{[1
]}

Jin, Lu ^{[1
]}

机构：

[1] Fudan Univ, Sch Math Sci, Shanghai, Peoples R China

来源：

PACIFIC JOURNAL OF MATHEMATICS | 2019年 / 302卷 / 01期

基金：

中国国家自然科学基金;

关键词：

degeneracy theorem; hypersurface; holomorphic curve; Nevanlinna theory; 2ND MAIN THEOREM; MEROMORPHIC MAPPINGS; UNIQUENESS PROBLEM; TRUNCATED MULTIPLICITIES;

D O I：

10.2140/pjm.2019.302.371

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In value distribution theory, many uniqueness and degeneracy theorems for holomorphic curves in P-n (C) sharing hyperplanes or sharing sufficiently many hypersurfaces have been obtained in the last few decades. But there is no result concerning holomorphic curves in P-n(C) sharing few hypersurfaces. We prove several degeneracy theorems for two algebraically nondegenerate holomorphic curves in P-n(C) sharing n + k hypersurfaces in general position.

引用

页码：371 / 383

页数：13

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