Multi-local singularities of k-folding maps on curves and surfaces.
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Geometric bifurcations of singularities of plane curves
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| Author(s): |
Tiago Suzuki Tokuda
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: | 2024-02-29 |
| Examining board members: |
Marco Antônio do Couto Fernandes;
João Carlos Ferreira Costa;
Fábio Scalco Dias;
Ana Claudia Nabarro
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| Advisor: | Farid Tari; Marco Antônio do Couto Fernandes |
| Abstract | |
The study of singularities of planar curves (real in our case) is a classical subject. The plane can be equipped with a metric, such as the Euclidean or Minkowski metric. Thus, when deforming the curve, it is expected that the geometry concentrated at the singularity (the vertices, inflections, bitangencies, self-intersections, light-like points in the case of curves in Minkowski space) will appear in the deformed curve. Our work presents a study of such deformations (AU) | |
| FAPESP's process: | 22/00133-0 - Geometric bifurcations of singular plane curves |
| Grantee: | Tiago Suzuki Tokuda |
| Support Opportunities: | Scholarships in Brazil - Master |