scholarly journals Semi-complete vector fields of saddle-node type in $\mathbb {C}^n$

2008 ◽  
Vol 360 (12) ◽  
pp. 6611-6630
Author(s):  
Helena Reis
Keyword(s):  
Vector Fields ◽  
Saddle Node ◽  
Complete Vector ◽  
Complete Vector Fields ◽  
Node Type

scholarly journals COMPLETE VECTOR FIELDS ON ℂ2 WHOSE UNDERLYING FOLIATION IS POLYNOMIAL

2010 ◽  
Vol 21 (03) ◽  
pp. 333-347 ◽  
Author(s):  
ALVARO BUSTINDUY
Keyword(s):  
Vector Fields ◽  
Complex Variables ◽  
Polynomial Vector ◽  
Polynomial Vector Fields ◽  
Complete Vector ◽  
Complete Vector Fields

We extend the classification of complete polynomial vector fields in two complex variables given by Brunella to cover the case of holomorphic (non-polynomial) vector fields whose underlying foliation is still polynomial.

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