Polar germs, Jacobian ideal and analytic classification of irreducible plane curve singularities

We examine the relationship between the analytic type of an irreducible plane curve singularity with a single characteristic exponent and the germs of curve defined by the elements of its Jacobian ideal, in particular its polar germs.

Detalhes bibliográficos
Autor: Casas Alvero, Eduardo
Tipo de documento: artigo
Estado:Versão publicada
Data de publicação:2023
País:España
Recursos:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repositório:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:2445/217388
Acesso em linha:https://hdl.handle.net/2445/217388
Access Level:Acceso aberto
Palavra-chave:Invariants
Anells locals
Corbes algebraiques
Singularitats (Matemàtica)
Local rings
Algebraic curves
Singularities (Mathematics)
Descrição
Resumo:We examine the relationship between the analytic type of an irreducible plane curve singularity with a single characteristic exponent and the germs of curve defined by the elements of its Jacobian ideal, in particular its polar germs.