| Revista: | Boletín de la Sociedad Matemática Mexicana |
| Base de datos: | PERIÓDICA |
| Número de sistema: | 000345590 |
| ISSN: | 0037-8615 |
| Autores: | Alcántara, Claudia R1 |
| Instituciones: | 1Universidad de Guanajuato, Departamento de Matemáticas, Guanajuato. México |
| Año: | 2010 |
| Periodo: | Abr |
| Volumen: | 16 |
| Número: | 1 |
| Paginación: | 39-52 |
| País: | México |
| Idioma: | Inglés |
| Tipo de documento: | Artículo |
| Enfoque: | Experimental, analítico |
| Resumen en inglés | Let Fd be the space of holomorphic foliations of CP of degree d. We study the linear action PGL(3,C)×Fd → Fd given by gX = DgX ◦ (g−1) in the sense of Mumford in [3]. In this paper we prove that an unstable foliation X of degree d ≥ 2 satisfies one of the following conditions: it is a Riccati foliation, or its automorphism group Aut(X) is finite abelian or it is isomorphic to a transitive finite subgroup of GL(2,C). We also prove the existence of degenerate singularities for unstable foliations; and we give a characterization of foliations on CP with an infinite automorphism group |
| Disciplinas: | Matemáticas |
| Palabras clave: | Matemáticas puras, Geometría algebraica, Foliaciones holomórficas, Foliación de Riccati, Grupo de automorfismos |
| Keyword: | Mathematics, Pure mathematics, Algebraic geometry, Holomorphic foliations, Riccati foliation, Automorphism group |
| Solicitud del documento | |
