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] The second main theorem of hypersurfaces in the projective space
Tiba, Yusaku
MATHEMATISCHE ZEITSCHRIFT, 2012, 272 (3-4) : 1165 - 1186
[32] Holomorphic rank of hypersurfaces with an isolated singularity
Neto A.L.
Boletim da Sociedade Brasileira de Matemática - Bulletin/Brazilian Mathematical Society, 1998, 29 (1) : 145 - 161
[33] ON THE NUMBER OF EXCEPTIONAL POINTS OF HOLOMORPHIC CURVES AND THE DEFECT RELATION FOR HOLOMORPHIC CURVES
Toda, Nobushige
KODAI MATHEMATICAL JOURNAL, 2014, 37 (01) : 120 - 156
[34] A new counting function for the zeros of holomorphic curves
Anderson, J. M.
Hinkkanen, Aimo
ANALYSIS AND MATHEMATICAL PHYSICS, 2014, 4 (1-2) : 35 - 62
[35] A new counting function for the zeros of holomorphic curves
J. M. Anderson
Aimo Hinkkanen
Analysis and Mathematical Physics, 2014, 4 : 35 - 62
[36] Meromorphic Mappings into Projective Varieties with Arbitrary Families of Moving Hypersurfaces
Duc Quang Si
JOURNAL OF GEOMETRIC ANALYSIS, 2022, 32 (02)
[37] Special numbers of rational points on hypersurfaces in the n-dimensional projective space over a finite field
Sboui, Adnen
DISCRETE MATHEMATICS, 2009, 309 (16) : 5048 - 5059
[38] Gonality of curves on general hypersurfaces
Bastianelli, Francesco
Ciliberto, Ciro
Flamini, Flaminio
Supino, Paola
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2019, 125 : 94 - 118
[39] Degeneracy of holomorphic curves in surfaces
LIU Yuancheng & RU Min Department of Mathematics
Science China Mathematics, 2005, (S1) : 156 - 167
[40] Degeneracy of holomorphic curves in surfaces
Yuancheng Liu
Min Ru
Science in China Series A: Mathematics, 2005, 48 : 156 - 167

← 1 2 3 4 5 →