A. Carbone

collaborators

2 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.AG2026

Nash uniformization of chessboard sets by Nash manifolds with corners

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…

K-holomorphic functions with definable real part

Nash uniformization of chessboard sets by Nash manifolds with corners

$K$ -holomorphic functions with definable real part