On the tangent cones to plurisubharmonic currents
Complex Variables
2011-12-16 v1
Abstract
In this paper, we study the existence of the tangent cone to a positive plurisubharmonic or plurisuperharmonic current with a suitable condition. Some Estimates of the growth of the Lelong functions associated to the current and to its are given to ensure the existence of the blow-up of this current. A second proof for the existence of the tangent cone is derived from these estimates.
Keywords
Cite
@article{arxiv.1112.3469,
title = {On the tangent cones to plurisubharmonic currents},
author = {Noureddine Ghiloufi and Khalifa Dabbek},
journal= {arXiv preprint arXiv:1112.3469},
year = {2011}
}
Comments
18 pages