TY - JOUR AU - Bustinduy Candelas, Álvaro AU - Giraldo Suárez, Luis PY - 2015 DO - 10.1016/j.aim.2015.08.003 SN - 0001-8708 UR - https://hdl.handle.net/20.500.14352/34972 T2 - Advances in Mathematics 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.... LA - eng M2 - 1339 PB - Elsvier KW - Foliation transverse to a fibration KW - Foliation P-complete KW - Simply-connected trajectories KW - Surjective derivations TI - Vector fields with simply connected trajectories transverse to a polynomial TY - journal article VL - 285 ER -