Volume of Components of Lelong Upper-Level Sets

被引：1

作者：

Do, Duc Thai ^{[2
]}

Vu, Duc-Viet ^{[1
]}

机构：

[1] Univ Cologne, Dept Math & Comp Sci, Div Math, Weyertal 86-90, D-50931 Cologne, Germany

[2] Hanoi Natl Univ Educ, Dept Math, 136 XuanThuy str, Hanoi, Vietnam

来源：

JOURNAL OF GEOMETRIC ANALYSIS | 2023年 / 33卷 / 09期

关键词：

Density current; Lelong number; Lelong filtration; Dinh-Sibony product; GREEN CURRENT; EQUIDISTRIBUTION; INTERSECTION; DENSITY;

D O I：

10.1007/s12220-023-01373-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove an upper bound for the volume of maximal analytic sets on which the generic Lelong number of a closed positive current is positive. As a particular case, we give a uniform upper bound on the volume of the singular locus of an analytic set in terms of its volume on a compact Kahler manifold.

引用

页数：14

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