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.
"A reduction theorem for stable sets of holomorphic foliations on complex tori." Nagoya Math. J. 195 41 - 56, 2009.