Multi-local singularities of k-folding maps on curves and surfaces.
| Grant number: | 22/00133-0 |
| Support Opportunities: | Scholarships in Brazil - Master |
| Start date: | May 01, 2022 |
| End date: | June 30, 2023 |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Geometry and Topology |
| Principal Investigator: | Farid Tari |
| Grantee: | Tiago Suzuki Tokuda |
| Host Institution: | Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil |
| Associated research grant: | 19/07316-0 - Singularity theory and its applications to differential geometry, differential equations and computer vision, AP.TEM |
Abstract The study of the singularities of plane curves (real in our case) is a classic subject. The plane can be endowed with a metric, for example the Euclidean or Minkowski metric. Thus, when deforming the curve, it expected that the geometry concentrated at the singularity (vertices, inflections, bi-tangencies, self-intersections, light-like points in the case of curves in the Minkowski plane) appear in the deformed curve. Our project aims to study such deformations. (AU) | |
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