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math.AG2021
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…
math.AG2021
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…
math.AG2019
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…