The Galoisian envelope of a germ of foliation: the quasi-homogeneous case

dc.creatorPaul, Emmanuel
dc.date2006-12-11
dc.date.accessioned2026-07-07T06:34:29Z
dc.date.available2026-07-07T06:34:29Z
dc.descriptionWe give geometric and algorithmic criterions in order to have of a proper Galois closure for a codimension one germ of quasi-homogeneous foliation. We recall this notion recently introduced by B. Malgrange, and describe the Galois envelope of a group of germs of analytic diffeomorphisms. The geometric criterions are obtained from transverse analytic invariants, whereas the algorithmic ones make use of formal normal forms.
dc.identifierhttps://arxiv.org/abs/math/0612280
dc.identifierhttp://arxiv.org/abs/math/0612280
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99540
dc.subjectDynamical Systems
dc.subjectClassical Analysis and ODEs
dc.titleThe Galoisian envelope of a germ of foliation: the quasi-homogeneous case
dc.typetext

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