On the quotient of Milnor and Tjurina numbers for two‐dimensional isolated hypersurface singularities

In this paper we give a complete answer to a question posed by Dimca and Greuel about the quotient of the Milnor and Tjurina numbers of a plane curve singularity. We put this question into a general framework of the study of the difference of Milnor and Tjurina numbers for isolated complete intersec...

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Detalles Bibliográficos
Autor: Almirón Cuadros, Patricio
Tipo de recurso: artículo
Fecha de publicación:2022
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/71907
Acceso en línea:https://hdl.handle.net/20.500.14352/71907
Access Level:acceso abierto
Palabra clave:Milnor number
singularities
Tjurina number
Topología
1210 Topología
Descripción
Sumario:In this paper we give a complete answer to a question posed by Dimca and Greuel about the quotient of the Milnor and Tjurina numbers of a plane curve singularity. We put this question into a general framework of the study of the difference of Milnor and Tjurina numbers for isolated complete intersection singularities showing its connection with other problems in singularity theory.