Khalifa Dabbek and Noureddine Ghiloufi

Ordres des courants positifs pluriharmoniques (french)
[Orders of positive pluriharmonic currents]

Pages: 1-21
Received: 25 March 2011   
Accepted: 31 May 2012
Mathematics Subject Classification (2010): Primary 32U40; Secondary 32U05, 14A20.

Keywords: Positive pluriharmonic current, Plurisubharmonic function, order and type.

Abstract: In this article, we study the order of a positive pluriharmonic current and we compare it with either the order of the concurrent slices or the directional orders of the current. Therefore some estimates of the growth of the Lelong function are established and the problem of algebraicity of the current is treated as a result.