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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
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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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