On complex vector fields having simply-connected orbits

被引：0

作者：

Scárdua B. ^{[1
]}

机构：

[1] Instituto de Matemática, Universidade Federal do Rio de Janeiro, Rio de Janeiro - RJ 21945-970

来源：

Qualitative Theory of Dynamical Systems | 2004年 / 5卷 / 2期

关键词：

Holomorphic foliation; Parabolic Riemann surface; Simply-connected orbit;

D O I：

10.1007/BF02972679

中图分类号：

学科分类号：

摘要：

In this paper we study the classification polynomial vector fields with isolated singularities on C2 under the hypothesis that the non-singular orbits are simply-connected. Also we regard the case these orbits are cylinders. Regardless the natural relations with the study of complete vector fields on C2 which is carried out in [9], we give examples where the vector field is not complete. Our techniques are based on the geometry of the corresponding projective foliation.

引用

页码：223 / 245

页数：22

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