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On equality of line type and variety type of real hypersurfaces in Cn

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Abstract

Recently McNeal proved, by analytic methods, that the D’Angelo type of a boundary point of a convex domain agrees with the maximal order of contact of the boundary with complex lines. We give an elementary geometric proof and generalization of McNeal’s theorem.

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Communicated by Steven Krantz

The authors were partially supported by National Science Foundation Grant Number DMS-9002541.

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Boas, H.P., Straube, E.J. On equality of line type and variety type of real hypersurfaces in Cn . J Geom Anal 2, 95–98 (1992). https://doi.org/10.1007/BF02921382

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  • DOI: https://doi.org/10.1007/BF02921382

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