J. Nuño-Ballesteros

collaborators

4 papers

math.AG2025

On the topology of complex map-germs and a general LÃª-Greuel formula

LÃª DÅ©ng TrÃ¡ng, Juan J. NuÃ±o-Ballesteros, JosÃ© Seade

Consider a singular holomorphic map-germ $f : (X, 0) \to (C, 0)$ where $X$ is a singular complex analytic variety in $C^{N}$ , and another holomorphic map-ger…

math.AG2025

Counting $D_{4}$ singularities in the image of a wave front

C. MuÃ±oz-Cabello, J. J. NuÃ±o-Ballesteros, R. Oset Sinha

We give a formula to count the number of $D_{4}$ singularities in a stable frontal perturbation of a corank $2$ wave front singularity $f : (C^{3}, 0) \to (C^{4}, 0)$ …

math.AG2024

The Bruce-Roberts Numbers of 1-Forms on an ICIS

We relate the Bruce-Roberts numbers of a 1-form with respect to an ICIS to other invariants as the GSV-index, Tjurina and Milnor numbers.

math.AG2024

Singularities of mappings on ICIS and applications to Whitney equisingularity

We study germs of analytic maps $f : (X, S) \to (C^{p}, 0)$ , when $X$ is an ICIS of dimension $n < p$ . We define an image Milnor number, generalizing Mond's definition, $Î¼_…

On the topology of complex map-germs and a general LÃª-Greuel formula

Counting D4​ singularities in the image of a wave front

The Bruce-Roberts Numbers of 1-Forms on an ICIS

Singularities of mappings on ICIS and applications to Whitney equisingularity

Counting $D_{4}$ singularities in the image of a wave front