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arXiv · 1708.02673

Regular versus singular order of contact on pseudoconvex hypersurfaces

Jeffery D. McNeal·Luka Mernik
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Abstract

The singular and regular type of a point on a real hypersurface $\mathcal H$ in $\mathbb C^n$ are shown to agree when the regular type is strictly less than 4. If $\mathcal H$ is pseudoconvex, we show they agree when the regular type is 4. A non-pseudoconvex example is given where the regular type is 4 and the singular type is infinite.

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Jeffery D. McNeal, Luka Mernik. 2017-08-08. Regular versus singular order of contact on pseudoconvex hypersurfaces. https://doi.org/10.1007/s12220-017-9926-9

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