Ignacio Breva Ribes

activity

20232025

collaborators

3 papers

math.AG2025

A characterization of quasi-homogeneity in terms of liftable vector fields

Ignacio Breva Ribes, Raúl Oset Sinha

We prove under certain conditions that any stable unfolding of a quasi-homogeneous map-germ with finite singularity type is substantial. We then prove that if an equidimensional ma…

math.AG2024

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…

math.AG2023

Augmentation of singularities: $μ / τ$ -type conjectures and simplicity

Ignacio Breva Ribes, Raúl Oset Sinha

For function germs $g : (C^{n}, 0) \to (C, 0)$ it is well known that $1 \leq \frac{μ ( g )}{τ ( g )}$ and it has recently been proved by Liu that $\frac{μ ( g )}{τ ( g )} \leq n$ . We giv…

A characterization of quasi-homogeneity in terms of liftable vector fields

Good real images of complex maps

Augmentation of singularities: μ/τ-type conjectures and simplicity

Augmentation of singularities: $μ / τ$ -type conjectures and simplicity