Differentiable equisingularity of holomorphic foliations
| dc.contributor.affiliation | Pontificia Universidad Católica del Perú | |
| dc.contributor.author | Mol, R. | |
| dc.contributor.author | Rosas Bazan, R. | |
| dc.date.accessioned | 2026-03-13T17:00:58Z | |
| dc.date.issued | 2019 | |
| dc.description.abstract | We prove that a smooth equivalence between germs of holomorphic foliations at (C^2,0) establishes a bijection between the sets of formal separatrices preserving equisingularity classes. As a consequence, if one of the foliations is of second type, so is the other and they are equisingular. | |
| dc.description.sponsorship | Funding: 12010 Mathematics Subject Classification: 32S65, 37F75 2Keywords. Holomorphic foliations, vector fields, invariant curves, equidesingularization. 3Work supported by MATH-AmSud Project CNRS/CAPES/Concytec. First author supported by Universal/CNPq. Second author supported by Vicerrectorado de Investigación de la Pontificia Universidad Católica del Perú. | |
| dc.identifier.doi | https://doi.org/10.5427/jsing.2019.19f | |
| dc.identifier.uri | http://hdl.handle.net/20.500.14657/206825 | |
| dc.language.iso | eng | |
| dc.publisher | Worldwide Center of Mathematics | |
| dc.relation.ispartof | urn:issn:1949-2006 | |
| dc.rights | info:eu-repo/semantics/closedAccess | |
| dc.source | Journal of Singularities; Vol. 19 (2019) | |
| dc.subject | Holomorphic foliations | |
| dc.subject | Vector fields | |
| dc.subject | Invariant curves | |
| dc.subject | Equidesingularization | |
| dc.subject.ocde | https://purl.org/pe-repo/ocde/ford#1.01.01 | |
| dc.title | Differentiable equisingularity of holomorphic foliations | |
| dc.type | http://purl.org/coar/resource_type/c_6501 | |
| dc.type.other | Artículo | |
| dc.type.version | https://vocabularies.coar-repositories.org/version_types/c_970fb48d4fbd8a85/ |