Complete holomorphic vector fields on C^2 whose underlying foliation is polynomial

Abstract

We extend the classification of complete polynomial vector fields on C^2 given by Marco Brunella (Topology 43(2): 433-445, 2004) to cover the case of holomorphic (non-polynomial) vector fields whose underlying foliation is however still polynomial.

The original publication is available at this http URL: http://www.worldscinet.com/ijm/21/2103/S0129167X102103.html

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• Completeness is determined by any non-algebraic trajectory