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Nagoya Mathematical Journal (1)

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A Reduction Theorem for Stable sets of Holomorphic Foliations on Complex Tori
Takeo Ohsawa
Journal:

Nagoya Mathematical Journal / Volume 195 / 2009

Published online by Cambridge University Press:

11 January 2016, pp. 41-56

Print publication:

2009
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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.