collaborators

5 papers

math.AG2025

Embedded topological triviality of separable families of singularities

R. Giménez Conejero, Andreas Lind, Aurélio Menegon

Understanding how singularities behave under small perturbations is a central theme in singularity theory. In this paper we establish sufficient conditions for families of analytic…

math.AG2025

Good real pictures of corank one map germs from the -space to the -space

R. Giménez Conejero, Ignacio Breva Ribes

We study corank one -finite germs and their complexifications. More precisely, we study when these germs provide good real p…

math.AG2025

Isotypical components of the homology of ICIS and images of deformations of map germs

R. Giménez Conejero

We give a simple way to study the isotypical components of the homology of simplicial complexes with actions of finite groups, and use it for Milnor fibers of ICIS. We study the ho…

math.AG2024

Good real images of complex maps

Ignacio Breva Ribes, R. Giménez Conejero

We prove several results regarding the homology and homotopy type of images of real maps and their complexification. In particular, we study the local behavior of singular points a…

math.AG2024

Singularities of mappings on ICIS and applications to Whitney equisingularity

R. Giménez Conejero, J. J. Nuño-Ballesteros

We study germs of analytic maps , when is an ICIS of dimension . We define an image Milnor number, generalizing Mond's definition, $μ_…