The Monge-Ampère operator and slicing of closed positive currents

DOI10.1007/BF02921809zbMath1005.32023MaRDI QIDQ1589316

Hassine El Mir, Hèdi Ben Messaoud

Publication date: 11 December 2000

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

zbMATH Keywords

potentialplurisubharmonic functionLelong numbersMonge-Ampère operatorclosed positive currentslicing formula

Mathematics Subject Classification ID

Complex Monge-Ampère operators (32W20) Lelong numbers (32U25) Currents (32U40) Integration on analytic sets and spaces, currents (32C30)

Related Items (11)

Flatness of the positive plurisubharmonic currents ⋮ Characterization of multiplier ideal sheaves with weights of Lelong number one ⋮ Lelong numbers of potentials associated with positive closed currents and applications ⋮ Wedge product of positive currents and balanced manifolds ⋮ A dual of the Chow transformation ⋮ m-Potential theory associated to a positive closed current in the class ofm-sh functions ⋮ Extension of negative plurisubharmonic current with condition on the slices ⋮ Numerically trivial foliations. ⋮ Extension of a positive plurisubharmonic current. ⋮ Complex Hessian operator associated to an \(m\)-positive closed current and weighted \(m\)-capacity ⋮ \(m\)-potential theory and \(m\)-generalized Lelong numbers associated with \(m\)-positive supercurrents

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Sur le prolongement des courants positifs fermés
• Über die Fortsetzbarkeit analytischer Mengen endlichen Oberflächeninhaltes
• A new capacity for plurisubharmonic functions
• Quelques problèmes de prolongement de courants en analyse complexe
• Prolongement des courants, positifs, fermes de masse finie
• Extension of meromorphic maps into Kähler manifolds
• Slicing and extension of closed positive currents
• A characterization of holomorphic chains
• Analyticity of sets associated to Lelong numbers and the extension of closed positive currents
• Oka's inequality for currents and applications
• Slicing of closed positive currents and the equation of Lelong-Poincaré
• Über den Flächeninhalt analytischer Mengen udn die Erzeugung k- pseudokonvexer Gebiete
• Lelong numbers of positive plurisubharmonic currents
• Sur l'existence du cône tangent à un courant positif fermé. (About the existence of the tangent cone with positive closed current)
• Extending analytic objects

This page was built for publication: The Monge-Ampère operator and slicing of closed positive currents