Proper trajectories of type C* of a polynomial vector field on C2

被引：0

作者：

Bustinduy, Alvaro ^{[1
]}

机构：

[1] Univ Antonio de Nebrija, Dept Ingn Ind, Escuela Politecn Super, Madrid 28040, Spain

来源：

MATHEMATISCHE ANNALEN | 2011年 / 351卷 / 02期

关键词：

2; COMPLEX-VARIABLES; SPACE;

D O I：

10.1007/s00208-010-0595-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that if a polynomial vector field on C-2 has a proper and non-algebraic trajectory analytically isomorphic to C* all its trajectories are proper, and except at most one which is contained in an algebraic curve of type C all of them are of type C*. As corollary we obtain an analytic version of Lin-Zaidenberg Theorem for polynomial foliations.

引用

页码：393 / 401

页数：9

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