Abstract
In this paper, we study the existence of Lelong numbers of negative plurisubharmonic currents. We prove first that if T is a negative plurisubharmonic current of bidimension (p, p) on a neighbourhood of the origin in where , then the projective mass of T satisfies for r small enough. Then we study the case of the Lelong–Skoda potential associated with a positive closed current to prove that the set is not analytic in general for a positive pluriharmonic current R.Nombres de Lelong des potentiels associés à des courants positifs fermés et applicationsRésumé Dans cet article, on s’intéresse à l’étude des nombres de Lelong des courants négatifs plurisousharmoniques. On montre tout d’abord que si T est un courant négatif plurisousharmonique de bidimension (p, p) sur un voisinage de l’origine de , alors la masse projective de T satisfait pour r assez petit. En suite on étudie le cas du potentiel de Lelong-Skoda associé à un courant positif fermé pour conclure que, pour un courant positif pluriharmonique R, l’ensemble n’est pas analytique en générale.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
