2026-06-07T13:53:12Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/349722023-08-28T06:23:17Zcom_20.500.14352_14col_20.500.14352_15

Vector fields with simply connected trajectories transverse to a polynomial Bustinduy Candelas, Álvaro Giraldo Suárez, Luis 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 2023-06-19T14:57:53Z 2023-06-19T14:57:53Z 2023-06-19T14:57:53Z 2015 journal article https://hdl.handle.net/20.500.14352/34972 0001-8708 10.1016/j.aim.2015.08.003 eng restricted access Elsvier