Degree of the first integral of a pencil in defined by Lins Neto
Let P4 be the linear family of foliations of degree 4 in P2 introduced by A. Lins Neto, whose set of parameter withfirst integral Ip(P4) is dense and countable. In this work, we will compute explicitly the degree of the rationalfirst integral of the foliations in this linear family, as a function of...
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2013 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:102794 |
| Acceso en línea: | https://ddd.uab.cat/record/102794 https://dx.doi.org/urn:doi:10.5565/PUBLMAT_57113_05 |
| Access Level: | acceso abierto |
| Palabra clave: | Poincare problem Pencil of foliations First integral |
| Sumario: | Let P4 be the linear family of foliations of degree 4 in P2 introduced by A. Lins Neto, whose set of parameter withfirst integral Ip(P4) is dense and countable. In this work, we will compute explicitly the degree of the rationalfirst integral of the foliations in this linear family, as a function of the parameter. |
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