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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Detalles Bibliográficos
Autor: Melle Hernández, Alejandro
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:20.500.14352/57093
Acceso en línea:https://hdl.handle.net/20.500.14352/57093
Access Level:acceso abierto
Palabra clave:512.7
Isolated singularity
Polar invariant
Milnor number
Equisingularity
Geometria algebraica
1201.01 Geometría Algebraica
Descripción
Sumario: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.