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arXiv · 1804.10087

A note on pseudoconvex hypersurfaces of infinite type in $\mathbb C^n$

John Erik Fornæss·Ninh Van Thu
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Abstract

The purpose of this article is to prove that there exists a real smooth pseudoconvex hypersurface germ $(M,p)$ of D'Angelo infinite type in $\mathbb C^{n+1}$ such that it does not admit any (singular) holomorphic curve in $\mathbb C^{n+1}$ tangent to $M$ at $p$ to infinite order.

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John Erik Fornæss, Ninh Van Thu. 2018-04-26. A note on pseudoconvex hypersurfaces of infinite type in $\mathbb C^n$. https://arxiv.org/abs/1804.10087

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