On Holomorphic Curves Tangent to Real Hypersurfaces of Infinite Type

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Abstract

The purpose of this paper is to investigate the geometric properties of real hypersurfaces of D’Angelo infinite type in Cn. In order to understand the situation of flatness of these hypersurfaces, it is natural to ask whether there exists a nonconstant holomorphic curve tangent to a given hypersurface to infinite order. A sufficient condition for this existence is given by using Newton polyhedra, which is an important concept in singularity theory. More precisely, equivalence conditions are given in the case of some model hypersurfaces.

Original languageEnglish
JournalJournal of Geometric Analysis
DOIs
Publication statusAccepted/In press - 2020

All Science Journal Classification (ASJC) codes

  • Geometry and Topology

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