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Prolongement d’un courant positif quasi-plurisurharmonique

Noureddine Ghiloufi; Khalifa Dabbek — 2009

Annales mathématiques Blaise Pascal

Le but de cet article est de montrer un résultat de prolongement d’un courant positif, défini en dehors d’un obstacle fermé, dont le $d d^{c}$ est dominé par un courant positif fermé de masse localement finie. On étudie divers types d’obstacles : soit un ensemble fermé pluripolaire complet, soit l’ensemble des zéros d’une fonction strictement $k$ -convexe positive. Dans la troisième partie, sous des conditions sur la dimension de de l’obstacle, on démontre le prolongement d’un tel courant. On termine par...

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