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Author Lempert, Laszlo
Source arXiv.org
Content type Text
File Format PDF
Date of Submission 2008-08-12
Language English
Subject Domain (in DDC) Natural sciences & mathematics ♦ Mathematics
Subject Keyword Mathematics - Complex Variables ♦ 58B12 ♦ 46G20 ♦ 32D ♦ 58D15 ♦ math
Abstract We consider a Stein manifold $M$ of dimension $\geq 2$ and a compact subset $K\subset M$ such that $M'=M\backslash K$ is connected. Let $S$ be a compact differential manifold, and let $M_S$, resp. $M'_S$ stand for the complex manifold of maps $S\to M$, resp. $S\to M'$, of some specified regularity, that are homotopic to constant. We prove that any holomorphic function on $M'_S$ continues analytically to $M_S$ (perhaps as a multivalued function).
Educational Use Research
Learning Resource Type Article
Page Count 24


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