Holomorphic curves into projective spaces with some special hypersurfaces

被引：0

作者：

Cao, Hongzhe ^{[2
]}

Wang, Yuting ^{[2
]}

Xu, Qingyong ^{[1
]}

机构：

[1] Nanchang Univ, Sch Tourism, Nanchang 330031, Jiangxi, Peoples R China

[2] Nanchang Univ, Dept Math, Nanchang 330031, Jiangxi, Peoples R China

来源：

DEMONSTRATIO MATHEMATICA | 2024年 / 57卷 / 01期

基金：

中国国家自然科学基金;

关键词：

holomorphic curves; Nevanlinna theory; hypersurfaces; 2ND MAIN THEOREM;

D O I：

10.1515/dema-2023-0136

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we establish some truncated second main theorems for holomorphic curves into projective spaces with some special hypersurfaces and give some applications. In addition, the defect relation, the algebraically degenerate conditions and uniqueness theorem for holomorphic curves with some special divisors may be improved.

引用

页数：9

共 50 条

[41] Some observations on local and projective hypersurfaces
Dao, Hailong
MATHEMATICAL RESEARCH LETTERS, 2008, 15 (2-3) : 207 - 219
[42] On the genus of projective curves not contained in hypersurfaces of given degree
Di Gennaro, Vincenzo
RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2023, 72 (07) : 3487 - 3493
[43] On the genus of projective curves not contained in hypersurfaces of given degree
Vincenzo Di Gennaro
Rendiconti del Circolo Matematico di Palermo Series 2, 2023, 72 : 3487 - 3493
[44] DEFICIENCIES OF ASSOCIATED CURVES OF A HOLOMORPHIC CURVE IN PROJECTIVE SPACE
NIINO, K
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1976, 59 (01) : 81 - 88
[45] Metrisability of projective surfaces and pseudo-holomorphic curves
Thomas Mettler
Mathematische Zeitschrift, 2021, 298 : 69 - 78
[46] An improved defect relation for holomorphic curves in projective varieties
Mills, Charles
Ru, Min
COMPLEX ANALYSIS AND DYNAMICAL SYSTEMS VII, 2017, 699 : 263 - 273
[47] Metrisability of projective surfaces and pseudo-holomorphic curves
Mettler, Thomas
MATHEMATISCHE ZEITSCHRIFT, 2021, 298 (1-2) : 69 - 78
[48] Holomorphic curves omitting five planes in projective space
Eremenko, A
AMERICAN JOURNAL OF MATHEMATICS, 1996, 118 (06) : 1141 - 1151
[49] Uniqueness Polynomials for Holomorphic Curves into the Complex Projective Space
Yang, Liu
FILOMAT, 2020, 34 (02) : 351 - 356
[50] Holomorphic maps from complex discs intersecting hypersurfaces of projective varieties
Quang, Si Duc
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2023, 68 (10) : 1775 - 1800

← 1 2 3 4 5 →