Infinite type germs of smooth hypersurfaces in \mathbb Cⁿ

2009/11/11 by John Erik Fornæss, John Erik Fornaess, Lina Lee +4
Mathematics · #Algebraic Geometry and Number Theory #Complex Variables (math.CV) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #math.CV

paper · pdf · doi:10.48550/arxiv.0911.2275

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

arxiv created 2009/11/11 · openalex publication_date 2009/11/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we discuss germs of smooth hypersurface in \mathbb Cⁿ. 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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