Infinite type germs of smooth hypersurfaces in ${\mathbb{C}}^n$

Abstract

In this paper, we discuss germs of smooth hypersurface in ${\mathbb{C}}^n$. We show that if a point on the boundary has infinite D'Angelo type, then there exists a formal complex curve in the hypersurface through that point.

6 pages. published in complex. Var. Elliptic. Equ.2009