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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 514 Foliation transverse to a fibration Foliation P-complete Simply-connected trajectories Surjective derivations Geometría 1204 Geometría 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 Depto. de Álgebra, Geometría y Topología Fac. de Ciencias Matemáticas TRUE pub 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 application/pdf Elsvier