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On the tangent cones to plurisubharmonic currents
Journal article   Peer reviewed

On the tangent cones to plurisubharmonic currents

Khalifa Dabbek, Noureddine Ghiloufi and Jawhar Hbil
Bulletin des sciences mathématiques, Vol.140(5), pp.562-574
01/06/2016
DOI: https://doi.org/10.1016/j.bulsci.2015.08.002

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
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 Le long functions associated with the current and to its dd(c) are given to ensure the existence of the strict transform of this current. A second proof for the existence of the tangent cone is derived from these estimates. (C) 2015 Elsevier Masson SAS. All rights reserved.

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