A. Carbone

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

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

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