The Catlin multitype and biholomorphic equivalence of models

Details The Catlin multitype and biholomorphic equivalence of models The Catlin multitype and biholomorphic equivalence of models

2009-05-15

arxiv.org/abs/0905.2529v1

Mathematics

Complex Variables

Scientific paper

We consider an alternative approach to a fundamental CR invariant - the Catlin multitype. It is applied to a general smooth hypersurface in $\mathbbC^{n+1}$, not necessarily pseudoconvex. Using this approach, we prove biholomorphic equivalence of models, and give an explicit description of biholomorphisms between different models. A constructive finite algorithm for computing the multitype is described. The results can be viewed a necessary step in understanding local biholomorphic equivalence of Levi degenerate hypersurfaces of finite Catlin multitype.

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