Dicritical logarithmic foliations
We show the existence of weak logarithmic models for any (dicritical or not) holomorphic foliation F of (C2 , 0) without saddlenodes in its desingularization. The models are written in terms of a representative set of separatrices, whose equisingularity types are controlled by the Milnor number of t...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2006 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:5130 |
| Acceso en línea: | https://ddd.uab.cat/record/5130 https://dx.doi.org/urn:doi:10.5565/PUBLMAT_50106_05 |
| Access Level: | acceso abierto |
| Palabra clave: | Singular foliations Dicritical foliations Logarithmic forms Pencil of curves Singularities |
| Sumario: | We show the existence of weak logarithmic models for any (dicritical or not) holomorphic foliation F of (C2 , 0) without saddlenodes in its desingularization. The models are written in terms of a representative set of separatrices, whose equisingularity types are controlled by the Milnor number of the foliation. |
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