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arxiv: 1312.2262 · v1 · pith:64O34HXYnew · submitted 2013-12-08 · 🧮 math.CV

On complex points of codimension 2 submanifolds

classification 🧮 math.CV
keywords complexcodimensionpointsstructuresubmanifoldsubmanifoldsbasisdepends
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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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