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arXiv · 1010.6055

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

Alvaro Bustinduy
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Abstract

We prove that if a polynomial vector field on C2 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.

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Alvaro Bustinduy. 2010-10-28. Proper trajectories of type C* of a polynomial vector field on C2. https://arxiv.org/abs/1010.6055

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