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

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