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arXiv · 1312.2262

On complex points of codimension 2 submanifolds

Marko Slapar
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Abstract

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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Marko Slapar. 2013-12-08. On complex points of codimension 2 submanifolds. https://doi.org/10.1007/s12220-014-9545-7

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