Pseudo-Effective Vector Bundles with Vanishing First Chern Class on Astheno-Kähler Manifolds

作     者：Yong CHEN Xi ZHANG Yong CHEN;Xi ZHANG

作者机构：School of Mathematics and StatisticsNanjing University of Science and TechnologyNanjing 210094China 

出 版 物：《Chinese Annals of Mathematics,Series B》 (数学年刊（B辑英文版）)

年 卷 期：2023年第44卷第6期

页      面：819-826页

核心收录：

学科分类：07[理学] 0701[理学-数学] 

基　　金：supported by the National key R&D Program of China(No.2020YFA0713100) the National Natural Science Foundation of China(No.12141104) the Jiangsu Funding Program for Excellent Postdoctoral Talent(No.2023ZB491). 

主　　题：Pseudo-effective Astheno-Kähler Numerically flatness 

摘      要：Let E be a holomophic vector bundle over a compact Astheno-Kähler manifold(M,ω).The authors would prove that E is a numerically flat vector bundle if E is pseudoeffective and the first Chern class c_(1)^(BC)(E)is zero.