14 citations · 74 across the 28 of their papers we have counts for
5 papers · 1 filter
On complements of convex polyhedra as polynomial and regular images of
José F. Fernando, Carlos Ueno
In this work we prove constructively that the complement $\R^n\setminus\pol$ of a convex polyhedron $\pol\subset\R^n$ and the complement $\R^n\setminus\Int(\pol)$ of its interior a…
On the one dimensional polynomial and regular images of
José F. Fernando
In this work we present a full geometric characterization of the 1-dimensional polynomial and regular images of and we compute for all of them the invariants ${\rm p(S)}…
On the complements of 3-dimensional convex polyhedra as polynomial images of
José F. Fernando, Carlos Ueno
We prove that the complement of a 3-dimensional convex polyhedron and its closure $\overline{\…
On the set of points at infinity of a polynomial image of
José F. Fernando, Carlos Ueno
In this work we prove that the set of points at infinity of a semialgebraic set whic…
On the Nullstellensätze for Stein spaces and -analytic sets
Francesca Acquistapace, Fabrizio Broglia, Jose F. Fernando
In this work we prove the real Nullstellensatz for the ring of analytic functions on a -analytic set in terms of the saturation of Łoja…