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A Reduction Theorem for Stable sets of Holomorphic Foliations on Complex Tori

Published online by Cambridge University Press:  11 January 2016

Takeo Ohsawa
Takeo Ohsawa*
Affiliation:
Graduate School of MathematicsNagoya University, Furocho, Nagoya, 464-8602, Japanohsawa@math.nagoya-u.ac.jp
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Abstract

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Some complex n-tori admit holomorphic foliations of codimension one besides the flat ones. It will be shown that such nonlinear foliations, possibly with singularities, can be reduced to those on 2-tori under some topological conditions. A crucial step is an application of the Hodge theory on pseudoconvex manifolds.

Keywords

32E4053C40
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 195 , 2009 , pp. 41 - 56
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2009

References

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