Density and intersection of (1,1)-currents

被引：7

作者：

Kaufmann, Lucas ^{[1
]}

Duc-Viet Vu ^{[2
,3
]}

机构：

[1] Chalmers Univ Technol, SE-41296 Gothenburg, Sweden

[2] Korea Inst Adv Study, Sch Math, 85 Hoegiro, Seoul 02455, South Korea

[3] Univ Cologne, Math Inst, Weyertal 86-90, D-50931 Cologne, Germany

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2019年 / 277卷 / 02期

关键词：

Density currents; Mongc-Ampere operator; Pluripotential theory; Intersection theory; CURRENTS;

D O I：

10.1016/j.jfa.2019.04.001

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study density currents associated with a collection of positive closed (1, 1)-currents on a complex manifold. We prove that the density current is unique and determined by the usual wedge product in some classical situations including the case where the currents have bounded potentials. As an application, we compare density currents with the non-pluripolar product and the Andersson-Wulcan product. We also analyse some situations where the wedge product is not well-defined but the density can be explicitly computed. (C) 2019 Elsevier Inc. All rights reserved.

引用

页码：392 / 417

页数：26

共 12 条

[1] GREEN FUNCTIONS, SEGRE NUMBERS, AND KING'S FORMULA [J].