Generalized models and local invariants of Kohn-Nirenberg domains

Martin Kolar

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arXiv · math/0703058

Generalized models and local invariants of Kohn-Nirenberg domains

Martin Kolar

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Abstract

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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Martin Kolar. 2007-03-02. Generalized models and local invariants of Kohn-Nirenberg domains. https://arxiv.org/abs/math/0703058

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