Dicritical foliations and semiroots of plane branches
In this work we describe dicritical foliations in (C2, 0) at a triple point of the resolution dual graph of an analytic plane branch C using its semiroots. In particular, we obtain a constructive method to present a one-parameter family Cu of separatrices for such foliations. As a by-product we rela...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2024 |
| País: | España |
| Institución: | Universidad de Cantabria (UC) |
| Repositorio: | UCrea Repositorio Abierto de la Universidad de Cantabria |
| Idioma: | inglés |
| OAI Identifier: | oai:repositorio.unican.es:10902/34026 |
| Acceso en línea: | https://hdl.handle.net/10902/34026 |
| Access Level: | acceso abierto |
| Palabra clave: | Dicritical foliations Semiroots Analytic invariants of plane branches |
| Sumario: | In this work we describe dicritical foliations in (C2, 0) at a triple point of the resolution dual graph of an analytic plane branch C using its semiroots. In particular, we obtain a constructive method to present a one-parameter family Cu of separatrices for such foliations. As a by-product we relate the contact order between a special member of Cu and C with analytic discrete invariants of plane branches. |
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