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

23 Mar 2020 · Fornæss John Erik, Van Thu Ninh ·

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.