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
1. Verfasser: Slapar, Marko
Format: Artikel
Sprache:eng
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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.
ISSN:2331-8422
DOI:10.48550/arxiv.1312.2262