DEFICIENCIES OF HOLOMORPHIC CURVES IN ALGEBRAIC VARIETIES

被引：1

作者：

Aihara, Yoshihiro ^{[1
]}

机构：

[1] Fukushima Univ, Fac Human Dev & Culture, Fukushima 9601296, Japan

来源：

TOHOKU MATHEMATICAL JOURNAL | 2012年 / 64卷 / 02期

基金：

日本学术振兴会;

关键词：

Nevanlinna theory; holomorphic curve; deficiency; linear system; MEROMORPHIC MAPPINGS;

D O I：

10.2748/tmj/1341249376

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study property of Nevanlinna's deficiency as functions on linear systems in smooth complex projective algebraic varieties. We give a structure theorem for the set of deficient divisors. This structure theorem yields that the set of values of deficiency is at most countable. Moreover, we have a correspondence between the deficiencies and the linear systems.

引用

页码：287 / 315

页数：29

共 50 条

[21] ON THE DEFECTS OF HOLOMORPHIC CURVES
Yang, Liu
Zhu, Ting
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2020, 57 (05) : 1195 - 1204
[22] ON THE GROWTH OF HOLOMORPHIC CURVES
Wu, Nan
Xuan, Zuxing
KODAI MATHEMATICAL JOURNAL, 2014, 37 (02) : 285 - 302
[23] A new notion of defect for holomorphic curves and their sequences
Dektyarev, IM
FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 2002, 36 (04) : 281 - 289
[24] WEAK NORMAL AND QUASINORMAL FAMILIES OF HOLOMORPHIC CURVES
Si Duc Quang
Dau Hong Quan
ARCHIVUM MATHEMATICUM, 2018, 54 (03): : 153 - 163
[25] DEGENERACY THEOREMS FOR TWO HOLOMORPHIC CURVES IN Pn(C) SHARING FEW HYPERSURFACES
Zhou, Kai
Jin, Lu
PACIFIC JOURNAL OF MATHEMATICS, 2019, 302 (01) : 371 - 383
[26] Similarity classification of holomorphic curves
Jiang, Chunlan
Ji, Kui
ADVANCES IN MATHEMATICS, 2007, 215 (02) : 446 - 468
[27] Degeneracy of holomorphic curves in surfaces
LIU Yuancheng & RU Min Department of Mathematics
Science China Mathematics, 2005, (S1) : 156 - 167
[28] Degeneracy of holomorphic curves in surfaces
Yuancheng Liu
Min Ru
Science in China Series A: Mathematics, 2005, 48 : 156 - 167
[29] Propagation sets of holomorphic curves
Zheng, Jianhua
Yan, Qiming
INTERNATIONAL JOURNAL OF MATHEMATICS, 2021, 32 (01)
[30] Uniform domains on holomorphic curves
Arbelaez, Hugo
Chuaqui, Martin
Sierra, Willy
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2015, 60 (07) : 1015 - 1031

← 1 2 3 4 5 →