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2009 A reduction theorem for stable sets of holomorphic foliations on complex tori
Takeo Ohsawa
Nagoya Math. J. 195(none): 41-56 (2009).

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.

Citation

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

Information

Published: 2009
First available in Project Euclid: 14 September 2009

zbMATH: 1187.32009
MathSciNet: MR2552952

Subjects:
Primary: 32E40
Secondary: 53C40

Rights: Copyright © 2009 Editorial Board, Nagoya Mathematical Journal

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Vol.195 • 2009
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