Darboux–Jouanolou–Ghys integrability for one-dimensional foliations on toric varieties
We use the existence of homogeneous coordinates for simplicial toric varieties to prove a result analogous to the Darboux–Jouanolou–Ghys integrability theorem for the existence of rational first integrals for one-dimensional foliations.
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2010 |
| País: | Brasil |
| Institución: | Universidade Federal de Viçosa (UFV) |
| Repositorio: | LOCUS Repositório Institucional da UFV |
| Idioma: | inglés |
| OAI Identifier: | oai:locus.ufv.br:123456789/21448 |
| Acceso en línea: | https://doi.org/10.1016/j.bulsci.2010.07.001 http://www.locus.ufv.br/handle/123456789/21448 |
| Access Level: | acceso abierto |
| Palabra clave: | Holomorphic foliations Rational first integral Toric varieties |
| Sumario: | We use the existence of homogeneous coordinates for simplicial toric varieties to prove a result analogous to the Darboux–Jouanolou–Ghys integrability theorem for the existence of rational first integrals for one-dimensional foliations. |
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