Hulls and boundaries in $\mathbb{C}^n$
Complex Variables
2026-05-26 v1 Symplectic Geometry
Abstract
The paper is concerned with the boundary behaviour of polynomially and rationally convex hulls in pseudoconvex domains in . As an application, it is shown that every connected polynomially or rationally convex compact set with boundary is isotopic to the closure of a smoothly bounded strictly pseudoconvex domain that is also polynomially or rationally convex.
Cite
@article{arxiv.2605.25800,
title = {Hulls and boundaries in $\mathbb{C}^n$},
author = {Stefan Nemirovski and Josias Reppekus and Nikolay Shcherbina},
journal= {arXiv preprint arXiv:2605.25800},
year = {2026}
}
Comments
25 pages