On the tangent cones to plurisubharmonic currents

被引：1

作者：

Dabbek, Khalifa ^{[1
]}

Ghiloufi, Noureddine ^{[1
]}

Hbil, Jawhar ^{[1
]}

机构：

[1] Univ Gabes, Fac Sci Gabes, Dept Math, Gabes 6072, Tunisia

来源：

BULLETIN DES SCIENCES MATHEMATIQUES | 2016年 / 140卷 / 05期

关键词：

Lelong number; Tangent cone; Plurisubharmonic current; Plurisubharmonic function; EXISTENCE;

D O I：

10.1016/j.bulsci.2015.08.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：562 / 574

页数：13

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