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We introduce an alternative approach to a fundamental C–R invariant—the Catlin multitype. It is applied to a general smooth hypersurface in ℂ  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 as providing a necessary step in understanding local biholomorphic equivalence of Levi degenerate hypersurfaces in ℂ  n +1 .

The Catlin Multitype and Biholomorphic Equivalence of Models