S. P. dos Santos

collaborators

2 papers

math.DG2025

Geometric deformations of implicit curves

Marco Antônio do Couto Fernandes, Samuel Paulino dos Santos

Let f = 0 be an implicit singular plane curve. When deforming f = 0, inflections and vertex emerge from the singularities. In this papper, we classify the deformations of f = 0 wit…

math.DG2021

Geometry of bifurcation sets of generic unfoldings of corank two functions

Kentaro Saji, Samuel P. dos Santos

We study the geometry of bifurcation sets of generic unfoldings of $D_{4}^{\pm}$ -functions. Taking blow-ups, we show each of the bifurcation sets of $D_{4}^{\pm}$ -functions admit a paramet…