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

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

2009-02-26

arxiv.org/abs/0902.4726v2

Int. J. Math. 21(3) (2010), 333--347

Mathematics

Complex Variables

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

Scientific paper

10.1142/S0129167X10006057

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.

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