Milnor number at infinity, topology and Newton boundary of a polynomial function
In this paper we show that the Euler characteristic of the generic fibre of a complex polynomial function f : C-n --> C can be easily computed using the Newton number of f. We apply this result to study polynomials with a finite number of critical points.
| Autores: | , , |
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| Tipo de documento: | artigo |
| Data de publicação: | 2000 |
| País: | España |
| Recursos: | Universidad Complutense de Madrid (UCM) |
| Repositório: | Docta Complutense |
| Idioma: | inglês |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/57092 |
| Acesso em linha: | https://hdl.handle.net/20.500.14352/57092 |
| Access Level: | Acceso aberto |
| Palavra-chave: | 512.7 Contractile threefolds Bifurcation Set Singularities Theorem Hypersurfaces C-3 Geometria algebraica 1201.01 Geometría Algebraica |
| Resumo: | In this paper we show that the Euler characteristic of the generic fibre of a complex polynomial function f : C-n --> C can be easily computed using the Newton number of f. We apply this result to study polynomials with a finite number of critical points. |
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