Lelong numbers of potentials associated with positive closed currents and applications

Autor:	Haithem Hawari, Noureddine Ghiloufi, Mohamed Zaway
Rok vydání:	2016
Předmět:	010101 applied mathematics Combinatorics Positive current Computational Mathematics Numerical Analysis Applied Mathematics 010102 general mathematics Geometry 0101 mathematics 01 natural sciences Analysis Mathematics
Zdroj:	Complex Variables and Elliptic Equations. 62:149-157
ISSN:	1747-6941 1747-6933
DOI:	10.1080/17476933.2016.1206084
Popis:	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 associes a des courants positifs fermes et applicationsResume Dans cet article, on s’interesse a l’etude des nombres de Lelong des courants negatifs plurisousharmoniques. On montre tout d’abord que si T est un courant negatif 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 etudie le cas du potentiel de Lelong-Skoda associe a un courant positif ferme pour conclure que, pour un courant positif pluriharmonique R, l’e...
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::86f981a5b28ba9077b33ac993b4bca6c https://doi.org/10.1080/17476933.2016.1206084 Zobrazit plný text záznamu