J. Nuño-Ballesteros

activity

20162024

most citedFamilies of ICIS with constant total Milnor number

1 citations · 1 across the 4 of their papers we have counts for

collaborators

7 papers

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.AG2022

The Bruce-Roberts Numbers of a Function on an ICIS

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

We give formulas for the Bruce-Roberts number $μ_{B R} (f, X)$ and its relative version $μ_{B R}^{-} (f, X)$ of a function $f$ with respect to an ICIS $(X, 0)$ . We show that $μ_{BR}^{-}(f…

math.AG2021

The relative Bruce-Roberts number of a function on a hypersurface

Barbara K. Lima-Pereira, Juan Jose Nuno-Ballesteros, Bruna Orefice-Okamoto +1

We consider the relative Bruce-Roberts number $μ_{B R}^{-} (f, X)$ of a function on an isolated hypersurface singularity $(X, 0)$ . We show that $μ_{B R}^{-} (f, X)$ is equal to the sum of…

math.AG2021★ 1 cited

Families of ICIS with constant total Milnor number

Rafaela Soares de Carvalho, Juan José Nuño-Ballesteros, Bruna Oréfice-Okamoto +1

We show that a family of isolated complete intersection singularities (ICIS) with constant total Milnor number has no coalescence of singularities. This extends a well known result…

math.AG2020

Equisingularity of families of functions on isolated determinantal singularities

Rafaela S. Carvalho, Juan J. Nuño-Ballesteros, Bruna Oréfice-Okamoto +1

We study the equisingularity of a family of function germs ${f_{t} : (X_{t}, 0) \to (C, 0)}$ , where $(X_{t}, 0)$ are $d$ -dimensional isolated determinantal singularities. We de…

math.AG2019

The Bruce-Roberts number of a function on a hypersurface with isolated singularity

Juan J. Nuño-Ballesteros, Bruna Oréfice-Okamoto, Bárbara K. L. Pereira +1

Let $(X, 0)$ be an isolated hypersurface singularity defined by $ϕ : (C^{n}, 0) \to (C, 0)$ and $f : (C^{n}, 0) \to C$ such that the Bruce-Roberts number…