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.
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页码：223 / 245
页数：22
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