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

[31] On Fundamental Theorems for Holomorphic Curves on an Annulus Intersecting Hypersurfaces
Phuong Tran Ha
Leuanglith Vilaisavanh
Bulletin of the Iranian Mathematical Society, 2022, 48 : 151 - 163
[32] ON SECANT SPACES TO PROJECTIVE CURVES
BALLICO, E
COMPOSITIO MATHEMATICA, 1993, 85 (03) : 311 - 313
[33] Birational geometry of hypersurfaces in products of projective spaces
Ottem, John Christian
MATHEMATISCHE ZEITSCHRIFT, 2015, 280 (1-2) : 135 - 148
[34] THE VARIETIES OF TANGENT LINES TO HYPERSURFACES IN PROJECTIVE SPACES
Ikeda, Atsushi
COMMUNICATIONS IN ALGEBRA, 2012, 40 (10) : 3716 - 3725
[35] Index of Minimal Hypersurfaces in Real Projective Spaces
Chen, Shuli
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2024, 2024 (10) : 8592 - 8608
[36] KERVAIRE INVARIANT OF HYPERSURFACES IN COMPLEX PROJECTIVE SPACES
MORITA, S
COMMENTARII MATHEMATICI HELVETICI, 1975, 50 (03) : 403 - 419
[37] Birational geometry of hypersurfaces in products of projective spaces
John Christian Ottem
Mathematische Zeitschrift, 2015, 280 : 135 - 148
[38] AN EXPLICIT ESTIMATE ON MULTIPLICITY TRUNCATION IN THE SECOND MAIN THEOREM FOR HOLOMORPHIC CURVES ENCOUNTERING HYPERSURFACES IN GENERAL POSITION IN PROJECTIVE SPACE
Ta Thi Hoai An
Ha Tran Phuong
HOUSTON JOURNAL OF MATHEMATICS, 2009, 35 (03): : 775 - 786
[39] Critical orbits of holomorphic maps on projective spaces
Tetsuo Veda
The Journal of Geometric Analysis, 1998, 8 (2): : 319 - 334
[40] Dynamics of symmetric holomorphic maps on projective spaces
Ueno, Kohhei
PUBLICACIONS MATEMATIQUES, 2007, 51 (02) : 333 - 344

← 1 2 3 4 5 →