On the Zeta-function of a polynomial at infinity
We use the notion of Milnor fibres of the germ of a meromorphic function and the method of partial resolutions for a study of topology of a polynomial map at infinity (mainly for calculation of the zeta-function of a monodromy). It gives effective methods of computation of the zeta-function for a nu...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2000 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/57111 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/57111 |
| Access Level: | acceso abierto |
| Palabra clave: | 512.7 Complex polynomial function Monodromy Zeta-function Bifurcation set Geometria algebraica 1201.01 Geometría Algebraica |
| Sumario: | We use the notion of Milnor fibres of the germ of a meromorphic function and the method of partial resolutions for a study of topology of a polynomial map at infinity (mainly for calculation of the zeta-function of a monodromy). It gives effective methods of computation of the zeta-function for a number of cases and a criterium for a value to be atypical at infinity. |
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