Pseudo-Effective Vector Bundles with Vanishing First Chern Class on Astheno-K¨ahler Manifolds*

Citation:

Yong CHEN,Xi ZHANG.Pseudo-Effective Vector Bundles with Vanishing First Chern Class on Astheno-K¨ahler Manifolds*[J].Chinese Annals of Mathematics B,2023,44(6):819~826
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Authors:

Yong CHEN; Xi ZHANG

Foundation:

National key R&D Program of China (No. 2020YFA0713100), the National Natural Science Foundation of China (No. 12141104) and the Jiangsu Funding Program for Excellent Postdoctoral Talent (No. 2023ZB491).
Abstract: Let E be a holomophic vector bundle over a compact Astheno-K¨ahler manifold (M, ω). The authors would prove that E is a numerically flat vector bundle if E is pseudoeffective and the first Chern class cBC1 (E) is zero.

Keywords:

Pseudo-effective, Astheno-K¨ahler, Numerically flatness

Classification:

32L05, 32Q99
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