Embedded curves and foliations
We prove the existence of regular foliations with a prescribed tangency divisor in neighborhoods of negatively embedded holomorphic curves; this is related to a linearization theorem due to Grauert. We give also examples of neighborhoods which can not be linearized.
| Autores: | , |
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| Formato: | artículo |
| Fecha de publicación: | 2011 |
| País: | España |
| Recursos: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:76162 |
| Acesso em linha: | https://ddd.uab.cat/record/76162 https://dx.doi.org/urn:doi:10.5565/PUBLMAT_55211_07 |
| Access Level: | acceso abierto |
| Palavra-chave: | Holomorphic foliation Serre duality |
| Resumo: | We prove the existence of regular foliations with a prescribed tangency divisor in neighborhoods of negatively embedded holomorphic curves; this is related to a linearization theorem due to Grauert. We give also examples of neighborhoods which can not be linearized. |
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