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dc.contributor.authorGarcía Barroso, Evelia Rosa 
dc.contributor.authorFernández Sánchez, Percy
dc.contributor.authorSaravia Molina, Nancy
dc.contributor.otherMatemáticas, Estadística e Investigación Operativa
dc.contributor.otherGrupo de investigación: Geometría algebracia: Singularidades en Invariantes (GASIULL)
dc.date.accessioned2025-01-19T21:05:12Z
dc.date.available2025-01-19T21:05:12Z
dc.date.issued2022
dc.identifier.urihttp://riull.ull.es/xmlui/handle/915/41027
dc.description.abstractIn this article we characterize the foliations that have the same Newton polygon that their union of formal separatrices, they are the foliations called of the second type. In the case of cuspidal foliations studied by Loray [Lo], we precise this characterization using the Poincar´e-Hopf index. This index also characterizes the cuspidal foliations having the same process of singularity reduction that the union of its separatrices. Finally we give necessary and sufficient conditions when these cuspidal foliations are generalized curves, and a characterization when they have only one separatrix.en
dc.format.mimetypeapplication/pdf
dc.language.isoen
dc.relation.ispartofseriesAn. S¸t. Univ. Ovidius Constant¸a, Vol. 30(2), 2022, 103–123
dc.rightsLicencia Creative Commons (Reconocimiento-No comercial-Sin obras derivadas 4.0 Internacional)
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/4.0/deed.es_ES
dc.titleCharacterization of second type plane foliations using Newton polygons
dc.typeinfo:eu-repo/semantics/article
dc.identifier.doi10.2478/auom-2022-0021
dc.subject.keywordfoliation
dc.subject.keywordsecond type foliation
dc.subject.keywordNewton polygon


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Except where otherwise noted, this item's license is described as Licencia Creative Commons (Reconocimiento-No comercial-Sin obras derivadas 4.0 Internacional)