On equidistribution theorem for multi-sequences of holomorphic line bundles

被引：0

作者：

Liu, Manli ^{[1
]}

Mai, Weixiong ^{[2
]}

Shao, Guokuan ^{[3
]}

机构：

[1] South China Agr Univ, Dept Math, Guangzhou 510642, Peoples R China

[2] Macau Univ Sci & Technol, Macao Ctr Math Sci, Macau 999078, Peoples R China

[3] Sun Yat Sen Univ, Sch Math Zhuhai, Zhuhai 519082, Peoples R China

来源：

SCIENCE CHINA-MATHEMATICS | 2025年 / 68卷 / 02期

基金：

中国国家自然科学基金;

关键词：

equidistribution; random holomorphic section; pseudo-effective line bundle; current; SINGULAR METRICS; SECTIONS; ZEROS;

D O I：

10.1007/s11425-022-2258-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Given several sequences of Hermitian holomorphic line bundles {(Lkp,hkp)}p=1 infinity\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\{(L_{kp}, h_{kp})\}_{p=1}<^>{\infty}$$\end{document}, 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.

引用

页码：285 / 298

页数：14

共 19 条

[1]

Bayraktar T, 2018, DOLOMIT RES NOTES AP, V11, P1

[2] UNIVERSALITY RESULTS FOR ZEROS OF RANDOM HOLOMORPHIC SECTIONS [J].

Bayraktar, Turgay ;

Coman, Dan ;

Marinescu, George .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2020, 373 (06) :3765-3791

[3] Quantum chaotic dynamics and random polynomials [J].

Bogomolny, E ;

Bohigas, O ;

Leboeuf, P .

JOURNAL OF STATISTICAL PHYSICS, 1996, 85 (5-6) :639-679

[4]

Coman D, 2024, INDIANA U MATH J, V73, P493

[5] Bergman kernels and equidistribution for sequences of line bundles on Kahler manifolds [J].

Coman, Dan ;

Lu, Wen ;

Ma, Xiaonan ;

Marinescu, George .

ADVANCES IN MATHEMATICS, 2023, 414

[6] Approximation and equidistribution results for pseudo-effective line bundles [J].

Coman, Dan ;

Marinescu, George ;

Viet-Anh Nguyen .

JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2018, 115 :218-236

[7] Equidistribution for sequences of line bundles on normal Kahler spaces [J].

Coman, Dan ;

Ma, Xiaonan ;

Marinescu, George .

GEOMETRY & TOPOLOGY, 2017, 21 (02) :923-962

[8] Holder Singular Metrics on Big Line Bundles and Equidistribution [J].

Coman, Dan ;

Marinescu, George ;

Viet-Anh Nguyen .

INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2016, 2016 (16) :5048-5075

[9]

Coman D, 2015, ANN SCI ECOLE NORM S, V48, P497

[10]

DEMAILLY JP, 1993, COMPLEX ANAL GEOMETR, P115

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