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.
| Comments: | 25 pages |
| Subjects: | Complex Variables (math.CV); Symplectic Geometry (math.SG) |
| Cite as: | arXiv:2605.25800 [math.CV] |
| (or arXiv:2605.25800v1 [math.CV] for this version) | |
| https://doi.org/10.48550/arXiv.2605.25800 arXiv-issued DOI via DataCite (pending registration) |
From: Stefan Nemirovski [view email]
[v1]
Mon, 25 May 2026 12:50:26 UTC (24 KB)
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