Multi-local singularities of k-folding maps on curves and surfaces.
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Singularities of irreducible plane curves
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| Author(s): |
Grazielle Feliciani Barbosa
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: | 2004-03-26 |
| Examining board members: |
Roberta Godoi Wik Atique;
Neuza Kazuko Kakuta;
Daniel Levcovitz
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| Advisor: | Roberta Godoi Wik Atique |
| Abstract | |
Our main subject are the algebroid irreducible plane curves or plane branches. We show that every plane branch has a special kind of parametrization, the SO called Puiseux parametrization, and that a singular plane branch can be turned into a regular one, through blowing-ups. We also study the intersection index of two plane branches and the semigroup of values associated to a plane branch. Finally we estabilish the equality between the semigroup\'s conductor and the Milnor number of the branch. (AU) | |