dc.contributor.author | García Barroso, Evelia Rosa | |
dc.contributor.author | Fernández Sánchez, Percy | |
dc.contributor.author | Saravia Molina, Nancy | |
dc.contributor.other | Matemáticas, Estadística e Investigación Operativa | |
dc.contributor.other | Grupo de investigación: Geometría algebracia: Singularidades en Invariantes (GASIULL) | |
dc.date.accessioned | 2025-01-19T21:05:12Z | |
dc.date.available | 2025-01-19T21:05:12Z | |
dc.date.issued | 2022 | |
dc.identifier.uri | http://riull.ull.es/xmlui/handle/915/41027 | |
dc.description.abstract | In 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.mimetype | application/pdf | |
dc.language.iso | en | |
dc.relation.ispartofseries | An. S¸t. Univ. Ovidius Constant¸a, Vol. 30(2), 2022, 103–123 | |
dc.rights | Licencia Creative Commons (Reconocimiento-No comercial-Sin obras derivadas 4.0 Internacional) | |
dc.rights | info:eu-repo/semantics/openAccess | |
dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/4.0/deed.es_ES | |
dc.title | Characterization of second type plane foliations using Newton polygons | |
dc.type | info:eu-repo/semantics/article | |
dc.identifier.doi | 10.2478/auom-2022-0021 | |
dc.subject.keyword | foliation | |
dc.subject.keyword | second type foliation | |
dc.subject.keyword | Newton polygon | |