Complex Polynomial Vector Fields Having a Finitely Curved Orbit

被引：0

作者：

B.SCDUA ^{[1
]}

机构：

[1] Instituto de Matemática,C.P.68530,Universidade Federal do Rio de Janeiro

来源：

ActaMathematicaSinica(EnglishSeries) | 2007年 / 23卷 / 12期

关键词：

holomorphic foliation; minimal immersion; Huber-Osserman theorem;

D O I：

暂无

中图分类号：

O174.14 [多项式理论];

学科分类号：

070104 ;

摘要：

The author proves that a non-singular polynomial vector field without invariant lines andhaving an entire finitely curved transcendent orbit on C~2 must be equivalent to a trivial vector field bya holomorphic change of coordinates.Other classification results are obtained for polynomial vectorfields having a finitely curved orbit on C~2.

引用

页码：2247 / 2252

页数：6

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