On complex points of codimension 2 submanifolds
In this paper we study the structure of complex points of codimension 2 real submanifolds in complex \(n\) dimensional manifolds. We show that the local structure of a complex point up to isotopy only depends on their type (either elliptic or hyperbolic). We also show that any such submanifold can b...
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Veröffentlicht in: | arXiv.org 2013-12 |
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Format: | Artikel |
Sprache: | eng |
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Online-Zugang: | Volltext |
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Zusammenfassung: | In this paper we study the structure of complex points of codimension 2 real submanifolds in complex \(n\) dimensional manifolds. We show that the local structure of a complex point up to isotopy only depends on their type (either elliptic or hyperbolic). We also show that any such submanifold can be smoothly isotoped into a submanifold that has 2-strictly pseudoconvex neighborhood basis. |
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ISSN: | 2331-8422 |
DOI: | 10.48550/arxiv.1312.2262 |