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Moscow Mathematical Journal, 2009, Volume 9, Number 4, Pages 729–748
DOI: https://doi.org/10.17323/1609-4514-2009-9-4-729-748 (Mi mmj362) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Nonuniformisable foliations on compact complex surfaces

Marco Brunella

Institut de Mathématiques de Bourgogne, Dijon, France
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DOI: https://doi.org/10.17323/1609-4514-2009-9-4-729-748
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.
Received: May 7, 2008
Bibliographic databases:
Document Type: Article
MSC: 32J15, 37F75, 57R30
Language: English
Citation: Marco Brunella, “Nonuniformisable foliations on compact complex surfaces”, Mosc. Math. J., 9:4 (2009), 729–748
Citation in format AMSBIB
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\paper Nonuniformisable foliations on compact complex surfaces
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\yr 2009
\vol 9
\issue 4
\pages 729--748
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    • This publication is cited in the following 4 articles:
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