Approximation and equidistribution results for pseudo-effective line bundles

被引：6

作者：

Coman, Dan ^{[1
]}

Marinescu, George ^{[2
,3
]}

Viet-Anh Nguyen ^{[4
]}

机构：

[1] Syracuse Univ, Dept Math, Syracuse, NY 13244 USA

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

[3] Romanian Acad, Inst Math Simion Stoilow, Bucharest, Romania

[4] Univ Lille 1, CNRS, UMR 8524, Lab Math Paul Painleve, F-59655 Villeneuve Dascq, France

来源：

JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES | 2018年 / 115卷

关键词：

Positive closed current; Analytic cycle; Bergman kernel function; Fubini Study current; Pseudo-effective line bundle; Zeros of random holomorphic sections; POSITIVE CLOSED CURRENTS; HOLOMORPHIC SECTIONS; VALUES; ZEROS;

D O I：

10.1016/j.matpur.2017.09.010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the distribution of the common zero sets of m-tuples of holomorphic sections of powers of m singular Hermitian pseudo-effective line bundles on a compact Kahler manifold. As an application, we obtain sufficient conditions which ensure that the wedge product of the curvature currents of these line bundles can be approximated by analytic cycles. (C) 2017 Elsevier Masson SAS. All rights reserved.

引用

页码：218 / 236

页数：19

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