On polar invariants of hypersurface singularities
The author proves a generalization of the Teissier theorem [B. Teissier, Invent. Math. 40, 267-292 (1977; Zbl 0446.32002)] about expressing the topological determinacy order by the polar invariants. In this generalization the main assumption is that the projective tangent cone of the hypersurface ha...
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| Formato: | artículo |
| Fecha de publicación: | 2000 |
| País: | España |
| Recursos: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/57093 |
| Acesso em linha: | https://hdl.handle.net/20.500.14352/57093 |
| Access Level: | acceso abierto |
| Palavra-chave: | 512.7 Isolated singularity Polar invariant Milnor number Equisingularity Geometria algebraica 1201.01 Geometría Algebraica |
| Resumo: | The author proves a generalization of the Teissier theorem [B. Teissier, Invent. Math. 40, 267-292 (1977; Zbl 0446.32002)] about expressing the topological determinacy order by the polar invariants. In this generalization the main assumption is that the projective tangent cone of the hypersurface has at most isolated singularities. Some consequences of the theorem are studied in the last section of the paper. |
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