Proper holomorphic embeddings with small limit setsForstnerič, Franc (Avtor) Stein manifoldproper holomorphic embeddingLet $X$ 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 $\mathbb{CP}^{2n}$.20242024-05-13 11:28:42Neznano18916UDK: 517.5ISSN pri članku: 2330-1511DOI: 10.1090/bproc/212COBISS_ID: 195187203sl