Pluri-polarity in almost complex structures

DOI10.1007/S00209-009-0506-YzbMath1200.32017arXiv0902.4452OpenAlexW1984789534MaRDI QIDQ966450

Jean-Pierre Rosay

Publication date: 23 April 2010

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0902.4452

zbMATH Keywords

logarithmic singularityNijenhuis tensoralmost-complex structuregeneric submanifold\(J\)-holomorphic function\(J\)-plurisubharmonic function

Mathematics Subject Classification ID

Almost complex manifolds (32Q60) Pseudoholomorphic curves (32Q65) Plurisubharmonic functions and generalizations (32U05)

Related Items (3)

On tamed almost complex four-manifolds ⋮ PLURIPOLAR SETS, REAL SUBMANIFOLDS AND PSEUDOHOLOMORPHIC DISCS ⋮ Discs and boundary uniqueness for psh functions on almost complex manifold

Cites Work

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• \(J\)-pluripolar subsets and currents on almost complex manifolds
• Polynomial convexity
• Filling real hypersurfaces by pseudoholomorphic discs
• Notes on the Diederich-Sukhov-Tumarov normalization for almost complex structures
• Schwarz-type lemmas for solutions of \(\bar\partial \)-inequalities and complete hyperbolicity of almost complex manifolds.
• \(J\)-holomorphic submanifolds are pluripolar
• Plurisubharmonic exhaustion functions and almost complex Stein structures
• Plurisubharmonic functions and positive currents of type (1,1) on an almost complex manifold
• Some integration problems in almost-complex and complex manifolds
• Filling hypersurfaces by discs in almost complex manifolds of dimension 2
• Estimates of the Kobayashi-Royden metric in almost complex manifolds

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