A preparation theorem for codimension one foliations

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dc.creatorLoray, Frank
dc.date2004-02-25
dc.date.accessioned2026-07-07T08:11:58Z
dc.date.available2026-07-07T08:11:58Z
dc.descriptionAfter gluing foliated complex manifolds, we derive a preparation-like theorem for singularities of codimension one foliations and planar vector fields (in the real or complex setting). Without computation, we retrieve and improve results of Levinson-Moser for functions, Dufour-Zhitomirskii for non degenerate codimension 1 foliations (proving in turn the analyticity), Strozyna-Zoladek for non degenerate planar vector fields and Brjuno-Ecalle for saddle-node foliations in the plane.
dc.identifierhttps://arxiv.org/abs/math/0402411
dc.identifierhttp://arxiv.org/abs/math/0402411
dc.identifierAnnals of Mathematics 163, 2 (2006) 709--722
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/132299
dc.subjectDifferential Geometry
dc.subjectComplex Variables
dc.subject32S65
dc.titleA preparation theorem for codimension one foliations
dc.typetext

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