| Title: | Proper holomorphic embeddings with small limit sets |
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| Authors: | ID Forstnerič, Franc (Author) |
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| Files: |  PDF - Presentation file, download (169,47 KB)
MD5: 4CB92897E9E4C55F72495E3D17EDA49E
 URL - Source URL, visit https://www.ams.org/journals/bproc/2024-11-08/S2330-1511-2024-00212-9/
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| Language: | English |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: |  IMFM - Institute of Mathematics, Physics, and Mechanics
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| Abstract: | Let $X$ be a Stein manifold of dimension $n\ge 1$. Given a continuous positive increasing function $h$ on ${\mathbb R}_+ = [0,\infty)$ with $\lim_{t\to\infty} h(t)=\infty$, we construct a proper holomorphic embedding $f=(z,w):X \hookrightarrow {\mathbb C}^{n+1}\times {\mathbb C}^n$ satisfying $|w(x)|<h(|z(x)|)$ for all $x\in X$. In particular, $f$ may be chosen such that its limit set at infinity is a linearly embedded copy of $\mathbb{CP}^n$ in $\mathbb{CP}^{2n}$. |
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| Keywords: | Stein manifold, proper holomorphic embedding |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Publication date: | 01.01.2024 |
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| Year of publishing: | 2024 |
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| Number of pages: | str. 77-83 |
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| Numbering: | Vol. 11 |
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| PID: | 20.500.12556/DiRROS-18916  |
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| UDC: | 517.5 |
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| ISSN on article: | 2330-1511 |
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| DOI: | 10.1090/bproc/212 |
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| COBISS.SI-ID: | 195187203 |
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| Note: |
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| Publication date in DiRROS: | 13.05.2024 |
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| Views: | 393 |
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| Downloads: | 291 |
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