Invariant of determinantal singularities and of maps on analytic varieties.
Introduction to the singularity theory of differentiable maps
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Thom-Boardman manifolds, jacobian ideals and singularities associate to analitic map germs
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| Author(s): |
Elíris Cristina Rizziolli
Total Authors: 1
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| Document type: | Master's Dissertation |
| Press: | São Carlos. , ilustrações. |
| Institution: | Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC/SB) |
| Defense date: | 2001-11-21 |
| Examining board members: |
Marcelo Jose Saia;
Roberta Godoi Wik Atique;
Marco Antonio Teixeira
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| Advisor: | Marcelo Jose Saia |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics |
| Indexed in: | Banco de Dados Bibliográficos da USP-DEDALUS; Biblioteca Digital de Teses e Dissertações - USP |
| Location: | Universidade de São Paulo. Instituto de Ciências Matemáticas e de Computação. Biblioteca Prof. Achille Bassi |
| Abstract | |
In this work we study the relation between the Thom-Boardman manifolds and the iterated jacobian ideals associate to these manifolds. First, we study the Thom-Boardman singularities associate to analitic map germs with the objective to introduce Thom-Boardman manifolds in the jet space. After, we study the extended jacobians ideals, following Morin's construction. We give the definition of the mulitiplicity c_i(f) associate to a Boadman symbol i=(i_1,...,i_k) and the stratum (Sigma)^i(f). (AU) | |