20.500.12556/DiRROS-18916 Proper holomorphic embeddings with small limit sets 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 $\mathbb{CP}^{2n}$. Stein manifold proper holomorphic embedding Steinova mnogoterost prava holomorfna vložitev true false true Angleški jezik Slovenski jezik Neznano 2024-05-13 11:28:42 2024-05-13 11:28:42 2024-05-14 03:35:33 0000-00-00 00:00:00 2024 0 0 str. 77-83 Vol. 11 2024 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 2024-01-01 517.5 2330-1511 10.1090/bproc/212 195187203 S2330-1511-2024-00212-9.pdf S2330-1511-2024-00212-9.pdf 1 4CB92897E9E4C55F72495E3D17EDA49E a25a692753f737800acdfc751ee04088721d44b1ccdd93b1a98bf8529007334a 9e0901b9-110b-11ef-9c9e-001a4af901a5 https://dirros.openscience.si/Dokument.php?lang=slv&id=25914 https://www.ams.org/journals/bproc/2024-11-08/S2330-1511-2024-00212-9/ 1 32311c8b-110b-11ef-9c9e-001a4af901a5 https://dirros.openscience.si/Dokument.php?lang=slv&id=25913 Inštitut za matematiko, fiziko in mehaniko 0 0 0