5 papers
On the topology of the transversal slice of a quasi-homogeneous map germ
Otoniel Nogueira da Silva
We consider a corank , finitely determined, quasi-homogeneous map germ from to . We describe the embedded topological type of a generic…
On the fifth Whitney cone of a complex analytic curve
Arturo Giles Flores, Otoniel Nogueira da Silva, Jawad Snoussi
From a procedure to calculate the -cone of a reduced complex analytic curve at a singular point , we extract a collection of integers that we…
On tangency in equisingular families of curves and surfaces
Arturo Giles Flores, Otoniel Nogueira da Silva, Jawad Snoussi
We study the behavior of limits of tangents in topologically equivalent spaces. In the context of families of generically reduced curves, we introduce the -invariant of a curve…
Equimultiplicity of families of map germs from to
Otoniel Nogueira da Silva
In 1971, Zariski proposed some questions in Theory of Singularities. One of such problems is the so-called, nowadays, Zariski's multiplicity conjecture. In this work, we consider t…
Whitney equisingularity in families of generically reduced curves
O. N. Silva, J. Snoussi
In this work we study equisingularity in a one-parameter flat family of generically reduced curves. We consider some equisingular criteria as topological triviality, Whitney equisi…