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Doctoral Thesis
DOI
10.11606/T.55.2018.tde-18102018-144911
Document
Author
Full name
Edison Marcavillaca Niño de Guzmán
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 2018
Supervisor
Committee
Hefez, Abramo (President)
Hernandes, Marcelo Escudeiro
Martins, Renato Vidal da Silva
Orihuela, Fernando Eduardo Torres
Saia, Marcelo José
Title in English
Set of Values of Fractional Ideals of Rings of Algebroid Curves
Keywords in English
Artin-Greenberg function
Fractional ideal
Sets of values
Abstract in English
The aim of this work is to study rings of algebroid Gorenstein rings. We explore more deeply the symmetry that exists among the sets of values of a fractional ideal and that of its dual and also to express the codimension of a fractional ideal in terms of the maximal points of the value set of the ideal. We apply the formulas we obtained to express the Tjurina number of a complete intersection curve in terms of invariants of its components and the maximal points of the set of values of the Kähler differentials on the curve.
Title in Portuguese
Conjunto de valores de ideais fracionários de anéis de curvas algebroides
Keywords in Portuguese
Conjunto de valores
Função de Artin- Greenberg
Ideais fracionários
Abstract in Portuguese
O objetivo desse trabalho é o estudo dos anéis de curvas algebróides de Gorenstein. Expolramos mais aprofundadamente a simetria que existe entre os conjuntos de valores de um ideal fracionário e de seu dual e também expressar a codimensão de um ideal fracionário em função dos pontos maximais de seu conjunto de valores. Aplicamos as fórmulas obtidas para relacionar o número de Tjurina de uma curva de interseção completa com certos invariantes de suas componentes e dos pontos maximais do conjunto de valores das diferenciais de Kähler sobre a curva.
 
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Publishing Date
2018-10-18
 
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