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

[31] HOLOMORPHIC CURVES WITH SHIFT-INVARIANT HYPERPLANE PREIMAGES
Halburd, Rodney
Korhonen, Risto
Tohge, Kazuya
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2014, 366 (08) : 4267 - 4298
[32] A note on the uniqueness problem of non-Archimedean holomorphic curves
Tran Van Tan
Bui Khanh Trinh
PERIODICA MATHEMATICA HUNGARICA, 2014, 68 (01) : 92 - 99
[33] Proper holomorphic curves attached to domains
Drnovsek, Barbara Drinovec
Slapar, Marko
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2020, 65 (03) : 489 - 497
[34] Equidistribution of divisors for sequences of holomorphic curves
Dektyarev, IM
FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 2000, 34 (03) : 172 - 178
[35] Equidistribution of divisors for sequences of holomorphic curves
I. M. Dektyarev
Functional Analysis and Its Applications, 2000, 34 : 172 - 178
[36] Uniqueness theorem for holomorphic curves on the disc
Yang, Liu
PUBLICATIONES MATHEMATICAE-DEBRECEN, 2021, 98 (3-4): : 299 - 312
[37] Weak Cartan-type Second Main Theorem for Holomorphic Curves
Qi Ming YAN Department of Mathematics
Acta Mathematica Sinica(English Series), 2008, 24 (03) : 455 - 462
[38] Weak Cartan-type second main theorem for holomorphic curves
Yan, Qi Ming
Chen, Zhi Hua
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2008, 24 (03) : 455 - 462
[39] Weak Cartan-type second main theorem for holomorphic curves
Qi Ming Yan
Zhi Hua Chen
Acta Mathematica Sinica, English Series, 2008, 24 : 455 - 462
[40] Weighted second main theorems and algebraic dependences for holomorphic maps from disks
Nhung, Nguyen Thi
BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE, 2023, 66 (03): : 319 - 336

← 1 2 3 4 5 →