3 citations · 5 across the 7 of their papers we have counts for
7 papers · 1 filter
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…
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…
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…
Signature of the Milnor fiber of parametrized surfaces
R. Giménez Conejero, Gergő Pintér
We compute the signature of the Milnor fiber of certain type of non-isolated complex surface singularities, namely, images of finitely determined holomorphic germs. An explicit for…
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…
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_I…
The image Milnor number and excellent unfoldings
R. Giménez Conejero, J. J. Nuño-Ballesteros
We show three basic properties on the image Milnor number of a germ with isolated instability. First, we show th…