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Bustinduy Candelas, Álvaro and Giraldo Suárez, Luis
(2015)
*Vector fields with simply connected trajectories transverse to a polynomial.*
Advances in Mathematics, 285
(5).
pp. 1339-1357.
ISSN 0001-8708

PDF
Restringido a Repository staff only 417kB |

Official URL: http://www.sciencedirect.com/science/article/pii/S0001870815002820

## Abstract

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

Item Type: | Article |
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Uncontrolled Keywords: | Foliation transverse to a fibration; Foliation P-complete; Simply-connected trajectories; Surjective derivations |

Subjects: | Sciences > Mathematics > Geometry |

ID Code: | 34798 |

Deposited On: | 18 Dec 2015 09:17 |

Last Modified: | 12 Dec 2018 15:12 |

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