A reduction theorem for stable sets of holomorphic foliations on complex tori
Takeo Ohsawa
Source: Nagoya Math. J. Volume 195 (2009), 41-56.
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.
Primary Subjects: 32E40
Secondary Subjects: 53C40
Full-text: Open access
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.nmj/1252934370
Zentralblatt MATH identifier:
05611428
Nagoya Mathematical Journal
