Inácio Rabelo

collaborators

4 papers

math.AG2026

Bicomplex Characteristic Classes

José Antonio Arciniega-Nevárez, Yesenia Bravo-Ortega, Inácio Rabelo +1

We introduce bicomplex fiber bundles and develop a framework for bicomplex characteristic classes and almost bicomplex structures on smooth manifolds. In the first part, we present…

math.AG2025

Non-degenerate mixed maps and contact structures

Inácio Rabelo, José Seade

We develop a theory of mixed isolated complete intersection singularities: real analytic maps $(C^{n}, 0) \to (C^{k}, 0)$ in the variables $z$ and $z ˉ$ that are submers…

math.AG2025

Bicomplex polar weighted homogeneous polynomials

Yesenia Bravo, Inácio Rabelo, Agustín Romano-Velázquez

We study the topology of real polynomial maps $R^{4 n} ⟶ R^{4}$ expressed in terms of bicomplex variables and their conjugates, which we refer to as…

math.AG2025

Lipschitz Geometry of Mixed Pham-Brieskorn Singularities

Inácio Rabelo

We give conditions for topological and bi-Lipschitz equivalences within a class of mixed singularities of Pham-Brieskorn type. As a consequence, we construct infinite families that…