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arxiv: 1709.07812 · v3 · pith:435MRSJZnew · submitted 2017-09-22 · 🧮 math.CV

On Normal Forms of Complex Points of codimension 2 submanifolds

classification 🧮 math.CV
keywords complexcodimensioncompleteextranormalpointssomealgebra
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In this paper we present some linear algebra behind quadratic parts of quadratically flat complex points of codimension two real submanifold in a complex manifold. Assuming some extra nondegenericity and using the result of Hong, complete normal form descriptions can be given, and in low dimensions, we obtain a complete classification without any extra assumptions.

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