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On the Complement of Levi-Flats in Kähler Manifolds of Dimension ≥ 3

Published online by Cambridge University Press:  11 January 2016

Takeo Ohsawa
Takeo Ohsawa*
Affiliation:
Graduate School of Mathematics, Nagoya University, Chikusa-ku Furo-cho 464-8602, Nagoya, Japan, ohsawa@math.nagoya-u.ac.jp
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Abstract

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Applying the L2 method of solving the -equation, it is shown that compact Kähler manifolds of dimension ≥ 3 admit no Levi flat real analytic hypersurfaces whose complements are Stein.

Keywords

32V4053C40
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 185 , 2007 , pp. 161 - 169
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2007

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