Growth of the trace of a closed positive current on complex planes in \(\mathbb C^n\).

DOI10.1016/j.matpur.2004.09.014zbMath1074.32003OpenAlexW2019476149MaRDI QIDQ1775760

Moufida Amamou, Slaim Ben Farah

Publication date: 4 May 2005

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matpur.2004.09.014

zbMATH Keywords

plurisubharmonic functionpluripolar setdissectionclosed positive current

Mathematics Subject Classification ID

Pluriharmonic and plurisubharmonic functions (31C10) Nevanlinna theory; growth estimates; other inequalities of several complex variables (32A22) Value distribution theory in higher dimensions (32H30) Integration on analytic sets and spaces, currents (32C30)

Related Items (1)

Algebraic currents and Liouville currents with conditions on slices

Cites Work

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• Sur le prolongement des courants positifs fermés
• Average growth estimates for hyperplane sections of entire analytic sets
• A new capacity for plurisubharmonic functions
• Envelopes of continuous, plurisubharmonic functions
• Prolongement des courants, positifs, fermes de masse finie
• A moving lemma for the transcendental Bezout problem
• Slicing and extension of closed positive currents
• Analyticity of sets associated to Lelong numbers and the extension of closed positive currents
• A counterexample to the transcendental Bezout problem
• A Note on Projective Capacity
• The area of analytic varieties in $\mathsf{C}^n$

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