| Título: | Generic behavior of asymptotically holomorphic Lefschetz pencils. |
| Autores: | Amorós, Jaume ; Muñoz, Vicente ; Presas, Francisco |
| Tipo de documento: | texto impreso |
| Editorial: | International Press, 2004 |
| Dimensiones: | application/pdf |
| Nota general: | info:eu-repo/semantics/restrictedAccess |
| Idiomas: | |
| Palabras clave: | Estado = Publicado , Materia = Ciencias: Matemáticas: Geometría , Tipo = Artículo |
| Resumen: |
We prove that the vanishing spheres of the Lefschetz pen- cils constructed by Donaldson on symplectic manifolds of any dimension are conjugated under the action of the symplec- tomorphism group of the fiber. More precisely, a number of generalized Dehn twists may be used to conjugate those spheres. This implies the non-existence of homologically triv-ial vanishing spheres in these pencils. To develop the proof,we discuss some basic topological properties of the space of asymptotically holomorphic transverse sections. |
| En línea: | https://eprints.ucm.es/id/eprint/21175/1/VMu%C3%B1oz49.pdf |
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