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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
Abstract
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.
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- Copyright © Editorial Board of Nagoya Mathematical Journal 2009
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