Otoniel Nogueira da Silva

activity

20232026

collaborators

5 papers

math.AG2026

Equisingularity in families of double point curves

Otoniel Nogueira da Silva, Manoel Messias da Silva Júnior

In this paper, we provide a systematic comparison between the equisingularity of a 1-parameter unfolding F = (f_t, t) of a finitely determined map germ f: (\mathbb{C}^2, 0) \to (\m…

math.AG2024

On reflection maps from the n-space to the n+1-space

Milena Barbosa Gama, Otoniel Nogueira da Silva

In this work we consider some problems about a reflected graph map germ $f$ from $(C^{n}, 0)$ to $(C^{n + 1}, 0)$ . A reflected graph map is a particular case of a refle…

math.AG2023

Equisingularity of families of map germs from the plane to 3-space

Otoniel Nogueira da Silva

In this work, we consider a finitely determined map germ $f$ from $(C^{2}, 0)$ to $(C^{3}, 0)$ . We characterize the Whitney equisingularity of an unfolding $F = (f_{t}, t)$ …

math.AG2023

Zariski's multiplicity conjecture for quasihomogeneous hypersurfaces with non-isolated singularities

Otoniel Nogueira da Silva, Manoel Messias da Silva Júnior

In this work, we consider a pair $(X, 0)$ and $(Y, 0)$ of hypersurfaces in $(C^{n + 1}, 0)$ parametrized by finitely determined, quasihomogeneous map germs $f…

math.AG2023

On invariants of a map germ from n-space to 2n-space

Juan José Nuño-Ballesteros, Otoniel Nogueira da Silva, João Nivaldo Tomazella

We consider $A$ -finite map germs $f$ from $(C^{n}, 0)$ to $(C^{2 n}, 0)$ . First, we show that the number of double points that appears in a stabilization of…