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Universidade de São Paulo - ICMC - São Carlos
Universidade de São Paulo - ICMC - São Carlos
The geometry from the family of projections of hypersurfaces M, with boundary, to hyperplanes.
The geometry from the family of projections of hypersurfaces M, with boundary, to hyperplanes.
Resumo: Let M be a smooth hypersurfaces in R^4, with boundary. The contact of M with lines is measured by the singularities of the elements of the family of projections to hyperplanes by P: M \times S^3\to R^3$.
Our aim is give a geometric characterization of the generic singularities of these projections. In special we analyze the Be-versal unfolding of each germ and which singularities arise in this perturbation, looking for the conditions to obtain simple singularities of Be- codimension greater than or equal to 1. It is such conditions that determine the bifurcation set. We explain the bifurcation set of each germ and which singularities arise from the perturbations. Such analysis also allows us to find the adjacencies of each germ.
Data: 18/02/2025
Data: 18/02/2025
Horário: 11h30
Horário: 11h30
Local: Bloco F67 (Dep. de Matemática) da UEM
Local: Bloco F67 (Dep. de Matemática) da UEM
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