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2007 On the complement of Levi-flats in K\"{a}hler manifolds of dimension $\ge 3$
Takeo Ohsawa
Nagoya Math. J. 185: 161-169 (2007).

Abstract

Applying the $L^2$ method of solving the $\bar{\partial}$-equation, it is shown that compact K\"{a}hler manifolds of dimension $\geq 3$ admit no Levi flat real analytic hypersurfaces whose complements are Stein.

Citation

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Takeo Ohsawa. "On the complement of Levi-flats in K\"{a}hler manifolds of dimension $\ge 3$." Nagoya Math. J. 185 161 - 169, 2007.

Information

Published: 2007
First available in Project Euclid: 23 March 2007

zbMATH: 1141.32015
MathSciNet: MR2301464

Subjects:
Primary: 32V40
Secondary: 53C40

Rights: Copyright © 2007 Editorial Board, Nagoya Mathematical Journal

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Vol.185 • 2007
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