Publication details
The Catlin multitype and biholomorphic equivalence of models
| Authors | |
|---|---|
| Year of publication | 2010 |
| Type | Article in Periodical |
| Magazine / Source | International Mathematics Research Notices. IMRN |
| MU Faculty or unit | |
| Citation | |
| Field | General mathematics |
| Keywords | pseudoconvex domains; real submanifolds; hypersurfaces; invariants |
| Description | The paper introduces 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. |