Open Access
Spring 2014 Formal complex curves in real smooth hypersurfaces
John Erik Fornæss, Lina Lee, Yuan Zhang
Illinois J. Math. 58(1): 1-10 (Spring 2014). DOI: 10.1215/ijm/1427897165

Abstract

In this paper, we investigate germs of smooth real hypersurfaces in $\mathbb{C}^{n}$. We show that if the hypersurface is of infinite D’Angelo type at a point, then there exists a formal complex curve in the hypersurface through that point.

Citation

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John Erik Fornæss. Lina Lee. Yuan Zhang. "Formal complex curves in real smooth hypersurfaces." Illinois J. Math. 58 (1) 1 - 10, Spring 2014. https://doi.org/10.1215/ijm/1427897165

Information

Published: Spring 2014
First available in Project Euclid: 1 April 2015

zbMATH: 1318.32037
MathSciNet: MR3331838
Digital Object Identifier: 10.1215/ijm/1427897165

Subjects:
Primary: 32T25
Secondary: 32C25

Rights: Copyright © 2014 University of Illinois at Urbana-Champaign

Vol.58 • No. 1 • Spring 2014
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