Abstract:
We give a complete classification of holomorphic foliations on compact complex surfaces which are not uniformisable, i.e., for which universal coverings of the leaves do not glue together in a Hausdorff way. This leads to complex analogs of the Reeb component defined on certain Hopf surfaces and certain Kato surfaces.
Key words and phrases:holomorphic foliations, Reeb component, uniformisation, nonkahlerian compact complex surfaces.
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