Carlos Ueno

collaborators

3 papers

math.AG2017

On regulous and regular images of Euclidean spaces

José Fernando, Goulwen Fichou, Ronan Quarez +1

In this work we compare the semialgebraic subsets that are images of regulous maps with those that are images of regular maps. Recall that a map f : R n $\to$ R m is regulo…

math.AG2015

The open quadrant problem: A topological proof

Jose F. Fernando, J. M. Gamboa, Carlos Ueno

In this work we present a new polynomial map $f := (f_{1}, f_{2}) : R^{2} \to R^{2}$ whose image is the open quadrant ${x > 0, y > 0} \subset R^{2}$ . The proof of this fact…

math.AG2015

A short proof for the open quadrant problem

Jose F. Fernando, Carlos Ueno

In 2003 it was proved that the open quadrant ${x > 0, y > 0}$ of $R^{2}$ is a polynomial image of $R^{2}$ . This result was the origin of an ulterior more systematic st…