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

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.

10 pages