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Local polar invariants for plane singular foliations

dc.contributor.authorCano, Felipe
dc.contributor.authorCorral Pérez, Nuria 
dc.contributor.authorMol, Rogério
dc.contributor.otherUniversidad de Cantabriaes_ES
dc.date.accessioned2025-01-10T16:41:45Z
dc.date.available2025-01-10T16:41:45Z
dc.date.issued2019-06
dc.identifier.issn0723-0869
dc.identifier.issn1878-0792
dc.identifier.otherMTM2016-77642-C2-1-Pes_ES
dc.identifier.urihttps://hdl.handle.net/10902/34948
dc.description.abstractIn this survey paper, we take the viewpoint of polar invariants to the local and global studyof non-dicritical holomorphic foliation in dimension two and their invariant curves. It appears acharacterization of second type foliations and generalized curve foliations as well as a descriptionof theG SV-index in terms of polar curves. We also interpret the proofs concerning the Poincaréproblem with polar invariants.es_ES
dc.description.sponsorshipThe first and second author were supported by the Ministerio de Economía y Competitividad MTM2016-77642-C2-1-P and the third author was supported by CAPES, FAPEMIG, Pronex/FAPERJ and Universal/CNPq.es_ES
dc.format.extent22 p.es_ES
dc.language.isoenges_ES
dc.publisherElsevieres_ES
dc.rights© 2019. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/es_ES
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.sourceExpositiones Mathematicae, 2019, 37(2), 145-164es_ES
dc.subject.otherHolomorphic foliationes_ES
dc.subject.otherPolar curveses_ES
dc.subject.otherInvariant curveses_ES
dc.titleLocal polar invariants for plane singular foliationses_ES
dc.typeinfo:eu-repo/semantics/articlees_ES
dc.relation.publisherVersionhttps://doi.org/10.1016/j.exmath.2018.01.003es_ES
dc.rights.accessRightsopenAccesses_ES
dc.identifier.DOI10.1016/j.exmath.2018.01.003
dc.type.versionacceptedVersiones_ES


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© 2019. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/Excepto si se señala otra cosa, la licencia del ítem se describe como © 2019. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/