On the density of second order differential equations without algebraic solutions on P2
We prove that a generic second order diferential equation in the projective plane has no algebraic solutions when the bidegree is big enough. We also prove an analogous result for webs on P2.
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2011 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:65203 |
| Acceso en línea: | https://ddd.uab.cat/record/65203 https://dx.doi.org/urn:doi:10.5565/PUBLMAT_55111_08 |
| Access Level: | acceso abierto |
| Palabra clave: | Holomorphic foliation Second order differential equation |
| Sumario: | We prove that a generic second order diferential equation in the projective plane has no algebraic solutions when the bidegree is big enough. We also prove an analogous result for webs on P2. |
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