On the integrability of holomorphic vector fields

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dc.creatorCamara, Leonardo
dc.creatorScardua, Bruno
dc.date2007-10-25
dc.date.accessioned2026-07-07T08:38:35Z
dc.date.available2026-07-07T08:38:35Z
dc.descriptionWe determine topological and algebraic conditions for a germ of holomorphic foliation $\mathcal F(X)$ induced by a generic vector field $X$ on $(\mathbb{C}^{3},0)$ to have a holomorphic first integral, i.e., a germ of holomorphic map $F \colon(\mathbb{C}^{3},0)\longrightarrow(\mathbb{C}^{2},0)$ such that the leaves of $\mathcal F(X)$ are contained in the level curves of $F$.
dc.description14 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/0710.4774
dc.identifierhttp://arxiv.org/abs/0710.4774
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/140783
dc.subjectComplex Variables
dc.subject37F75, 32M25, 32S65
dc.titleOn the integrability of holomorphic vector fields
dc.typetext

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