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

Mathematics – Complex Variables

Scientific paper

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

Scientific paper

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.

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