A note on pseudoconvex hypersurfaces of infinite type in ℂⁿ

Fornæss, John; Thu, Ninh

doi:10.1090/proc/15088

A note on pseudoconvex hypersurfaces of infinite type in $\mathbb C^n$
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by John Erik Fornæss and Ninh Van Thu PDF

Proc. Amer. Math. Soc. 148 (2020), 4435-4444 Request permission

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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