Proper holomorphic maps in Euclidean spaces avoiding unbounded convex sets

Autor:	Barbara Drinovec Drnovšek, Franc Forstnerič
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	convexity Oka mnogoterosti Mathematics - Complex Variables udc:517.5 minimal surfaces holomorfne vložitve konveksnost Oka manifold Steinove mnogoterosti holomorphic embeddings Stein manifolds FOS: Mathematics Geometry and Topology Complex Variables (math.CV) minimalne ploskve
Zdroj:	The journal of geometric analysis, vol. 33, no. 6, 170, 2023.
ISSN:	1050-6926
Popis:	We show that if $E$ is a closed convex set in $\mathbb C^n$ $(n>1)$ contained in a closed halfspace $H$ such that $E\cap bH$ is nonempty and bounded, then the concave domain $\Omega = \mathbb C^n\setminus E$ contains images of proper holomorphic maps $f:X\to \mathbb C^n$ from any Stein manifold $X$ of dimension $ Comment: Research supported by the European Union (ERC Advanced grant HPDR, 101053085 to Franc Forstneric) and grants P1-0291, J1-3005, N1-0137 and N1-0237 from ARRS, Republic of Slovenia
Databáze:	OpenAIRE
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