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Mathematics > Complex Variables

arXiv:math/0701574 (math)
[Submitted on 22 Jan 2007 (v1), last revised 18 Oct 2008 (this version, v7)]

Title:Stability of Stein structures on the Euclidean space

Authors:Herve Gaussier, Alexandre Sukhov
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Abstract: We give a characterization of the complex Euclidean space C^n, proving a global Newlander-Nirenberg's theorem on the representability of complex structures close to the standard complex structure on C^n.
Comments: 15 pages
Subjects: Complex Variables (math.CV)
MSC classes: 32G05, 32H02, 53C15
Cite as: arXiv:math/0701574 [math.CV]
  (or arXiv:math/0701574v7 [math.CV] for this version)
  https://doi.org/10.48550/arXiv.math/0701574

Submission history

From: Herve Gaussier [view email]
[v1] Mon, 22 Jan 2007 15:24:25 UTC (10 KB)
[v2] Sun, 28 Jan 2007 10:39:25 UTC (10 KB)
[v3] Wed, 21 Feb 2007 16:08:35 UTC (11 KB)
[v4] Fri, 28 Dec 2007 14:32:10 UTC (17 KB)
[v5] Mon, 24 Mar 2008 08:36:41 UTC (17 KB)
[v6] Mon, 21 Jul 2008 08:39:29 UTC (18 KB)
[v7] Sat, 18 Oct 2008 08:40:52 UTC (17 KB)
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