Complete polynomial vector fields on $\C^2$, Part I

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dc.creatorRebelo, Julio C.
dc.date2002-10-24
dc.date.accessioned2026-07-07T04:52:20Z
dc.date.available2026-07-07T04:52:20Z
dc.descriptionIn this work, under a mild assumption, we give the classification of the complete polynomial vector fields in two variables up to algebraic automorphisms of $\C^2$. The general problem is also reduced to the study of the combinatorics of certain resolutions of singularities. Whereas we deal with $\C$-complete vector fields, our results also apply to $\R$-complete ones thanks to a theorem of Forstneric \cite{forst}.
dc.description33 pages
dc.identifierhttps://arxiv.org/abs/math/0210392
dc.identifierhttp://arxiv.org/abs/math/0210392
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65429
dc.subjectDynamical Systems
dc.subject34A20, 32M25, 32J15
dc.titleComplete polynomial vector fields on $\C^2$, Part I
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