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A note on pseudoconvex hypersurfaces of infinite type in $\mathbb C^n$ (1804.10087v3)
Published 26 Apr 2018 in math.CV
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.