Finitely curved orbits of complex polynomial vector fields

This note is about the geometry of holomorphic foliations. Let X be a polynomial vectorfield with isolatedsingularities on C2. We announce some results regarding two problems: 1. Given a finitely curved orbit Lof X, under which conditions is L algebraic? 2. If X has some non-algebraic finitely curve...

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Bibliografiska uppgifter
I publikationen:Anais da Academia Brasileira de Ciências
Huvudupphovsman: Albetã C. Mafra
Materialtyp: Artigo
Språk:Inglês
Publicerad: Academia Brasileira de Ciências 2007
Ämnen:
Multidisciplinaria (Ciencias Naturales y Exactas)
algebraic curves
Holomorphic foliations
finite total curvature
polynomial vector fields
Länkar:https://www.redalyc.org/articulo.oa?id=32779102
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