Hulls and boundaries in $\mathbb{C}^n$
Fuente:
arXiv
Salvato in:
| Autori principali: | , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2026
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866914599424491520 |
|---|---|
| author | Nemirovski, Stefan Reppekus, Josias Shcherbina, Nikolay |
| author_facet | Nemirovski, Stefan Reppekus, Josias Shcherbina, Nikolay |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_25800 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Hulls and boundaries in $\mathbb{C}^n$ Nemirovski, Stefan Reppekus, Josias Shcherbina, Nikolay Complex Variables Symplectic Geometry 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. |
| title | Hulls and boundaries in $\mathbb{C}^n$ |
| topic | Complex Variables Symplectic Geometry |
| url | https://arxiv.org/abs/2605.25800 |