J. Nuño-Ballesteros

activity

20162025

most citedFamilies of ICIS with constant total Milnor number

1 citations · 1 across the 8 of their papers we have counts for

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11 papers · 1 filter

math.AG2025

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

Lê Dũng Tráng, Juan J. Nuño-Ballesteros, José 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. Muñoz-Cabello, J. J. Nuño-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

Bárbara K. Lima-Pereira, Juan José Nuño-Ballesteros, Bruna Oréfice-Okamoto +1

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.AG2023

Disentangling mappings defined on ICIS

Alberto Fernández-Hernández, Juan J. Nuño-Ballesteros

We study germs of hypersurfaces $(Y, 0) \subset (C^{n + 1}, 0)$ that can be described as the image of $A$ -finite mappings $f : (X, S) \to (C^{n + 1}, 0)$ defin…

math.AG2023

On invariants of a map germ from n-space to 2n-space

Juan José Nuño-Ballesteros, Otoniel Nogueira da Silva, João Nivaldo Tomazella

We consider $A$ -finite map germs $f$ from $(C^{n}, 0)$ to $(C^{2 n}, 0)$ . First, we show that the number of double points that appears in a stabilization of…

math.AG2022

The Bruce-Roberts Numbers of a Function on an ICIS