J. Ballesteros

collaborators

3 papers

math.AG2018

Iterated multiple points I: functoriality, defining equations and pathologies

Juan José Nuño Ballesteros, Guillermo Peñafort Sanchis

This is the first of a two-part work on Kleiman's iterated multiple point spaces. We show general properties of these spaces, leading to explicit equations describing them for maps…

math.AG2018

Topological Classification and Finite Determinacy of knotted maps

Juan José Nuño Ballesteros, Rodrigo Mendes

We show that the knot type of the link of a real analytic map germ with isolated singularity $f : (R^{2}, 0) \to (R^{4}, 0)$ is a complete invariant for $C^{0}$ -$\mathsc…

math.AG2017

Image Milnor number and $A_{e}$ -codimension for maps between weighted homogeneous irreducible curves

Daiane Alice Henrique Ament, Juan Jose Nuño Ballesteros, João Nivaldo Tomazella

Let $(X, 0) \subset (C^{n}, 0)$ be an irreducible weighted homogeneous singularity curve and let $f : (X, 0) \to (C^{2}, 0)$ be a map germ finite, one-to-one and weighted homo…

Iterated multiple points I: functoriality, defining equations and pathologies

Topological Classification and Finite Determinacy of knotted maps

Image Milnor number and Ae​-codimension for maps between weighted homogeneous irreducible curves

Image Milnor number and $A_{e}$ -codimension for maps between weighted homogeneous irreducible curves