Bustinduy Candelas, ÁlvaroGiraldo Suárez, Luis2023-06-192023-06-1920150001-870810.1016/j.aim.2015.08.003https://hdl.handle.net/20.500.14352/34972We 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 Cerveauengjournal articlehttp://www.sciencedirect.com/science/article/pii/S0001870815002820http://www.sciencedirect.com/restricted access514Foliation transverse to a fibrationFoliation P-completeSimply-connected trajectoriesSurjective derivationsGeometría1204 Geometría