dc.contributor | Tomazella, João Nivaldo | |
dc.contributor | http://lattes.cnpq.br/0051564735964760 | |
dc.contributor | Nuño Ballesteros, Juan José | |
dc.contributor | http://lattes.cnpq.br/0444070739009629 | |
dc.creator | Ament, Daiane Alice Henrique | |
dc.date.accessioned | 2017-08-09T18:34:26Z | |
dc.date.available | 2017-08-09T18:34:26Z | |
dc.date.created | 2017-08-09T18:34:26Z | |
dc.date.issued | 2017-04-19 | |
dc.identifier | AMENT, Daiane Alice Henrique. Invariantes de germes de aplicações. 2017. Tese (Doutorado em Matemática) – Universidade Federal de São Carlos, São Carlos, 2017. Disponível em: https://repositorio.ufscar.br/handle/ufscar/8976. | |
dc.identifier | https://repositorio.ufscar.br/handle/ufscar/8976 | |
dc.description.abstract | In this work, we show relations between invariants of map germs. First, we consider an analytic function germ f : (X, 0) —(C, 0) on an isolated determinantal singularity and we present a relation between the Euler obstruction of f and the determinantal Milnor number of f. In the particular case where (X, 0) is an isolated complete intersection singularity, we obtain a simple way to calculate the Euler obstruction of f as the difference between the dimension of two algebras. After, we work with map germs f : (X, 0) —— (C2, 0), where (X, 0) is a plane curve with isolated singularity. We introduce the image Milnor number to these map germs and we present a positive answer to the Mond’s conjecture in this context. The Mond’s conjecture proposes an inequality between two other invariants, the A^-codimension and the image Milnor number, in the case of map germs f : (Cn, 0) —(Cn+1, 0) when the dimensions (n,n + 1) is in Mather’s nice dimensions. The conjecture is true for n = 1, 2, and for the cases n > 3 is an open problem. | |
dc.language | por | |
dc.publisher | Universidade Federal de São Carlos | |
dc.publisher | UFSCar | |
dc.publisher | Programa de Pós-Graduação em Matemática - PPGM | |
dc.publisher | Câmpus São Carlos | |
dc.rights | Acesso aberto | |
dc.subject | Obstrução de Euler de uma função | |
dc.subject | Número de Milnor determinantal | |
dc.subject | Singularidade determinantal isolada | |
dc.subject | Número de Milnor da imagem | |
dc.subject | Curvas singulares | |
dc.subject | Euler obstruction of a function | |
dc.subject | Determinantal Milnor number | |
dc.subject | Isolated determinantal singularity | |
dc.subject | Image Milnor number | |
dc.subject | Curve singularities | |
dc.title | Invariantes de germes de aplicações | |
dc.type | Tesis | |