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arXiv · 2605.25800

Hulls and boundaries in $\mathbb{C}^n$

Stefan Nemirovski·Josias Reppekus·Nikolay Shcherbina
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Abstract

The paper is concerned with the boundary behaviour of polynomially and rationally convex hulls in pseudoconvex domains in $\mathbb{C}^n$. As an application, it is shown that every connected polynomially or rationally convex compact set with $C^1$ boundary is isotopic to the closure of a smoothly bounded strictly pseudoconvex domain that is also polynomially or rationally convex.

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Stefan Nemirovski, Josias Reppekus, Nikolay Shcherbina. 2026-05-25. Hulls and boundaries in $\mathbb{C}^n$. https://arxiv.org/abs/2605.25800

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