On the quasi-ordinary cuspidal foliations in ( C3, 0 )

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dc.contributor.affiliationInstituto de Matemática y Ciencias Afines (UNI-PUCP)
dc.contributor.authorFernández-Sánchez, P.
dc.contributor.authorMozo-Fernández, J.
dc.date.accessioned2026-03-13T16:58:26Z
dc.date.issued2006
dc.description.abstractIn this paper, we study a class of singularities of codimension 1 holomorphic germs of foliations in (C3, 0) , namely those ones having only one separatrix, that is a quasi-ordinary surface, and whose reduction of singularities agrees with the combinatorial desingularization of the separatrix. We show that the analytic classification of these germs can be read in the holonomy of a certain component of the exceptional divisor of the desingularization.
dc.description.sponsorshipFunding: Both authors partially supported by CONCYTEC (Peru) under the research project 551-OAJ (2004), and by Junta de Castilla y León (Spain) under project VA123/04.
dc.identifier.doihttps://doi.org/10.1016/j.jde.2005.09.006
dc.identifier.urihttp://hdl.handle.net/20.500.14657/205922
dc.language.isoeng
dc.publisherElsevier
dc.relation.ispartofurn:issn:0022-0396
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.sourceJournal of Differential Equatións; Vol. 226, Núm. 1 (2006)
dc.subjectHolomorphic foliations
dc.subjectAnalytic classification
dc.subjectReduction of singularities
dc.subject.ocdehttps://purl.org/pe-repo/ocde/ford#1.01.01
dc.titleOn the quasi-ordinary cuspidal foliations in ( C3, 0 )
dc.typehttp://purl.org/coar/resource_type/c_6501
dc.type.otherArtículo
dc.type.versionhttps://vocabularies.coar-repositories.org/version_types/c_970fb48d4fbd8a85/

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