A. Carbone

most citedSurjective Nash maps between semialgebraic sets

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

collaborators

3 papers

math.AG2026

$K$ -holomorphic functions with definable real part

Antonio Carbone, Enrico Savi

Let $R$ be a real closed field and $K := R (i)$ its algebraic closure. Let $U \subset K^{n}$ be an open and definable set in a fixed o-minimal structure. In this note, we study the relat…

math.AG2023★ 1 cited

Nash uniformization of chessboard sets by Nash manifolds with corners

Antonio Carbone, José F. Fernando

Bierstone and Parusiński studied the desingularization of $d$ -dimensional closed subanalytic sets and in particular of $d$ -dimensional closed semialgebraic sets. Their main tools a…

math.AG2023★ 2 cited

Surjective Nash maps between semialgebraic sets

Antonio Carbone, José F. Fernando

In this work we study the existence of surjective Nash maps between two given semialgebraic sets $S$ and $T$ . Some key ingredients are: the irreducible compon…

K-holomorphic functions with definable real part

Nash uniformization of chessboard sets by Nash manifolds with corners

Surjective Nash maps between semialgebraic sets

$K$ -holomorphic functions with definable real part