On equidistribution theorems for multi-sequences of holomorphic line bundles  

作　　者：Manli Liu Weixiong Mai Guokuan Shao 

机构地区：[1]Department of Mathematics,South China Agricultural University,Guangzhou 510642,China [2]Macao Center for Mathematical Sciences,Macao University of Science and Technology,Macao 999078,China [3]School of Mathematics(Zhuhai),Sun Yat-sen University,Zhuhai 519082,China

出　　处：《Science China Mathematics》2025年第2期285-298,共14页中国科学(数学英文版)

基　　金：supported by National Natural Science Foundation of China(Grant No.12301095);supported by National Natural Science Foundation of China(Grant No.11901594);supported by National Natural Science Foundation of China(Grant No.12001549);Topics on Basic and Applied Basics Research of Guangzhou in 2023(Grant No.2023A04J0648);Faculty Research Grants Program of the Macao University of Science and Technology(Grant No.FRG-22-076-MCMS);the Science and Technology Development Fund,Macao Special Administrative Region(Grant Nos.0133/2022/A and 0022/2023/ITP1);the Fundamental Research Funds for the Central Universities,Sun Yat-sen University(Grant Nos.22qntd2901 and 23lgbj026)。

摘　　要：Given several sequences of Hermitian holomorphic line bundles{(L_(kp),h_(kp))}_(p=1)^(∞),we establish the distribution of common zeros of random holomorphic sections of Lkp with respect to singular measures.We also study the dimension growth for a sequence of pseudo-effective line bundles.

关 键 词：EQUIDISTRIBUTION random holomorphic section pseudo-effective line bundle current 

分 类 号：O211.3[理学—概率论与数理统计]