Generalized models and local invariants of Kohn-Nirenberg domains

Details Generalized models and local invariants of Kohn-Nirenberg domains Generalized models and local invariants of Kohn-Nirenberg domains

2007-03-02

arxiv.org/abs/math/0703058v1

Mathematics

Complex Variables

Scientific paper

We give an explicit verifiable characterization of weakly pseudoconvex but locally nonconvexifiable hypersurfaces of finite type in dimension two. It is expressed in terms of a generalized model, which captures local geometry of the hypersurface both in the complex tangential and nontangential directions. As an application we obtain a new class of nonconvexifiable pseudoconvex hypersurfaces with convex models.

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