J. Nuño-Ballesteros

activity

20142025

most citedSingularities of mappings on ICIS and applications to Whitney equisingularity

3 citations · 8 across the 14 of their papers we have counts for

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Showing 2021Show all

4 papers · 1 filter

math.AG2021★ 3 cited

Singularities of mappings on ICIS and applications to Whitney equisingularity

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

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, $μ_I…

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.AG2021

Thom condition and Monodromy

R. Giménez Conejero, Lê Dũng Tráng, J. J. Nuño-Ballesteros

We give the definition of the Thom condition and we show that given any germ of complex analytic function $f : (X, x) \to (C, 0)$ on a complex analytic space $X$ , there exists a…