RT Journal Article T1 Vector fields with simply connected trajectories transverse to a polynomial A1 Bustinduy Candelas, Álvaro A1 Giraldo Suárez, Luis AB 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 PB Elsvier SN 0001-8708 YR 2015 FD 2015 LK https://hdl.handle.net/20.500.14352/34972 UL https://hdl.handle.net/20.500.14352/34972 LA eng DS Docta Complutense RD 14 abr 2025