Bifurcations and topology of meromorphic germs
A meromorphic germ at the origin in the complex space Cn is a ratio of two holomorphic germs on (Cn,0). After presentation of the basic definitions in the general context of arbitrary meromorphic germs the authors study the monodromy by calculating its zeta function. Then they give some results on h...
| Autores: | , , |
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| Tipo de recurso: | capítulo de libro |
| Fecha de publicación: | 2001 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/60665 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/60665 |
| Access Level: | acceso abierto |
| Palabra clave: | 512.761 meromorphic germs monodromy Milnor fibration bouquet type theorems Grupos (Matemáticas) |
| Sumario: | A meromorphic germ at the origin in the complex space Cn is a ratio of two holomorphic germs on (Cn,0). After presentation of the basic definitions in the general context of arbitrary meromorphic germs the authors study the monodromy by calculating its zeta function. Then they give some results on homology splitting and bouquet-type theorems for the global case of meromorphic functions on compact complex manifolds. Some applications to traditional cases of rational functions on CPn, including in particular polynomial functions on Cn, are considered. |
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