1 citations · 2 across the 5 of their papers we have counts for
5 papers
Limits of Tangents of Surfaces
Joao Cabral, Orlando Neto
We compute the limit of tangents of an arbitrary surface. We obtain as a byproduct an embedded version of Jung's desingularization theorem for surface singularities with finite lim…
Desingularization of Legendrian Surfaces
Antonio Araujo, Joao Cabral, Orlando Neto
In this paper we prove a desingularization theorem for Legendrian surfaces that are the conormal of a quasi-ordinary hypersurface.
On the Resolution Graph of a Plane Curve
Joao Cabral, Orlando Neto, Pedro C. Silva
We show that the resolution graph of a plane curve singularity admits a canonical decomposition into elementary graphs.
Numerical Range and the Dynamics of a Rational Function
H. Melo, J. Cabral
Sometimes we obtain attractive results when associating facts to simple elements. The goal of this work is to introduce a possible alternative in the study of the dynamics of ratio…
Microlocal Versal Deformations of Plane Curves
João Cabral, Orlando Neto
We introduce the notion of microlocal versal deformation of a plane curve. We construct equisingular versal deformations of Legendrian curves that are the conormal of a semi-quasi-…