Anéis de Arf e Caracteres

In this work we study the Arf semigroup and the Arf ring associated with an irreducible algebroid curve, or shortly, a branch. The multiplicity sequence of a branch, obtained by the canonical resolution process, is an important information about the curve. However, the resolution process is a hard w...

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Detalles Bibliográficos
Autor: Tásia Hickmann
Tipo de recurso: tesis de maestría
Estado:Versión publicada
Fecha de publicación:2010
País:Brasil
Institución:Universidade Estadual de Maringá (UEM)
Repositorio:Repositório Institucional da Universidade Estadual de Maringá (RI-UEM)
Idioma:portugués
OAI Identifier:oai:localhost:1/5459
Acceso en línea:http://repositorio.uem.br:8080/jspui/handle/1/5459
Access Level:acceso abierto
Palabra clave:Anéis de Arf
Caracteres de Arf
Singularidades
Ciências Exatas e da Terra
Matemática
Descripción
Sumario:In this work we study the Arf semigroup and the Arf ring associated with an irreducible algebroid curve, or shortly, a branch. The multiplicity sequence of a branch, obtained by the canonical resolution process, is an important information about the curve. However, the resolution process is a hard work in general. We present, in this work, a method to obtain the multiplicity sequence of a branch from its parameterization. This method is based on the concepts of characters, Arf semigroup and Arf ring