Geometric aspects of singularities of mappings from the plane to the tridimensiona...
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Invariants of map-germs from the plane to the plane
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| Author(s): |
Mariana Rodrigues da Silveira
Total Authors: 1
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| Document type: | Master's Dissertation |
| Press: | São Carlos. |
| Institution: | Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC/SB) |
| Defense date: | 2004-03-19 |
| Examining board members: |
Roberta Godoi Wik Atique;
Maria Aparecida Soares Ruas;
Angela Maria Sitta
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| Advisor: | Roberta Godoi Wik Atique |
| Abstract | |
In this work we deal with invariants for map germs from the plane to the plane. These invariants are the number of cusps (c(f)) and nodes (d(f)) that appear in the discriminant of a stable perturbation of the initial germ f . We show also that c(f) and d(f) are topological invariants. When f has corank 1 we present more simple formulas for c(f) and d(f) . (AU) | |