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• W73993802 abstract "We consider the germ of k-dimensional holomorphic foliation in ℂ n with an isolated singularity at the origin. Under the assumption that the germs of the leaves have bounded k-volume, it is proved that all leaves are closed and that at least one separatrix exists. If the k-volume (or k-dimensional Hausdorff measure) of the separatrix set is also finite, the germ has a very regular structure. In particular, the leaf space is a complex analytic space. The problem is motivated by the study of singularities of complex differential equations. Illustrative examples and a partial converse are presented." @default.
• W73993802 created "2016-06-24" @default.
• W73993802 creator A5015643783 @default.
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• W73993802 date "1988-01-01" @default.
• W73993802 modified "2023-09-27" @default.
• W73993802 title "First integrals for singular holomorphic foliations with leaves of bounded volume" @default.
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• W73993802 doi "https://doi.org/10.1007/bfb0081394" @default.
• W73993802 hasPublicationYear "1988" @default.
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