Local polar invariants for plane singular foliations
In 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...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2019 |
| País: | España |
| Institución: | Universidad de Cantabria (UC) |
| Repositorio: | UCrea Repositorio Abierto de la Universidad de Cantabria |
| Idioma: | inglés |
| OAI Identifier: | oai:repositorio.unican.es:10902/34948 |
| Acceso en línea: | https://hdl.handle.net/10902/34948 |
| Access Level: | acceso abierto |
| Palabra clave: | Holomorphic foliation Polar curves Invariant curves |
| Sumario: | In 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. |
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