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Vector fields with simply connected trajectories transverse to a polynomial.
- Source :
-
Advances in Mathematics . Nov2015, Vol. 285, p1339-1357. 19p. - Publication Year :
- 2015
-
Abstract
- We classify the polynomial vector fields X on C 2 which have simply-connected trajectories and satisfy d P ( 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 [7] . [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00018708
- Volume :
- 285
- Database :
- Academic Search Index
- Journal :
- Advances in Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 110270886
- Full Text :
- https://doi.org/10.1016/j.aim.2015.08.003