Degeneracy of holomorphic curves in surfaces

被引：9

作者：

Liu, YC ^{[1
]}

Ru, M ^{[1
]}

机构：

[1] Univ Houston, Dept Math, Houston, TX 77204 USA

来源：

SCIENCE IN CHINA SERIES A-MATHEMATICS | 2005年 / 48卷 / Suppl 1期

关键词：

degeneracy of holomorphic curves; Nevantinna theory; complex projective surface; second main theorem;

D O I：

10.1007/BF02884702

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let X be a complex projective algebraic manifold of dimension 2 and let D1, center dot center dot center dot, D-u be distinct irreducible divisors on X such that no three of them share a common point. Let f: C -> X\(U1 <= i <= uDi) be a holomorphic map. Assume that u >= 4 and that there exist positive integers n(1), center dot center dot center dot, n(u), c such that n(i)n(j)(D-i.D-j) = c for all pairs i, j. Then f is algebraically degenerate, i.e. its image is contained in an algebraic curve on X.

引用

页码：156 / 167

页数：12

共 12 条

[1] On integral points on surfaces [J].