Inácio Rabelo

collaborators

3 papers

math.AG2026

Non-degenerate mixed maps and contact structures

InÃ¡cio Rabelo, JosÃ© Seade

We study the geometry and topology of real analytic maps $C^{n} \to C^{k}$ , where $n > k$ , regarded as mixed maps, defined below. Firstly, we give two natural familie…

math.AG2026

Lipschitz Geometry of Mixed Pham-Brieskorn Singularities

InÃ¡cio 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…

math.AG2025

Bicomplex polar weighted homogeneous polynomials

Yesenia Bravo, InÃ¡cio Rabelo, AgustÃn Romano-VelÃ¡zquez

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…