On the regularity of the leafwise Poincaré metric

DOI10.1016/j.bulsci.2004.01.001zbMath1075.32007OpenAlexW2000322565MaRDI QIDQ707260

Marco Brunella

Publication date: 9 February 2005

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2004.01.001

zbMATH Keywords

holomorphic foliationsPoincaré metricpositive currents

Mathematics Subject Classification ID

Singularities of holomorphic vector fields and foliations (32S65) Dynamical aspects of holomorphic foliations and vector fields (37F75) Currents (32U40) Uniformization of complex manifolds (32Q30)

Related Items (1)

On a class of foliated non-Kählerian compact complex surfaces

Cites Work

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• A numerical criterion for very ample line bundles
• Hypersurfaces solutions d'une équation de Pfaff analytique
• Subharmonic variation of the leafwise Poincaré metric
• Analyticity of sets associated to Lelong numbers and the extension of closed positive currents
• Plurisubharmonic currents and their extension across analytic subsets

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