%0 Journal Article
%A Bustinduy Candelas, Álvaro
%A Giraldo Suárez, Luis
%T Vector fields with simply connected trajectories transverse to a polynomial
%D 2015
%@ 0001-8708
%U https://hdl.handle.net/20.500.14352/34972
%X We classify the polynomial vector fields X   on C2 which have simply-connected trajectories and satisfy dP(X)=1 for P   in C[x,y]. In particular, we obtain that such vector fields are complete and have all its trajectories proper and of type C. Finally, we apply this result to classify surjective C-derivations of C[x,y], and provide a proof of a conjecture of Cerveau
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