Entire curves avoiding given sets in C^n

Details Entire curves avoiding given sets in C^n Entire curves avoiding given sets in C^n

2003-12-02

arxiv.org/abs/math/0312051v1

Mathematics

Complex Variables

10 pages

Scientific paper

10.1007/BF02385483

Let $F\subset\Bbb C^n$ be a proper closed subset of $\Bbb C^n$ and
$A\subset\Bbb C^n\setminus F$ at most countable ($n\geq 2$). We give conditions
of $F$ and $A$, under which there exists a holomorphic immersion (or a proper
holomorphic embedding) $\phi:\Bbb C\to\Bbb C^n$ with $A\subset\phi(\Bbb
C)\subset\Bbb C^n\setminus F$.

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