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Pseudo-Effective Vector Bundles with Vanishing First Chern Class on Astheno-K¨ahler Manifolds* |
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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 |
Page view: 1313
Net amount: 788 |
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). |
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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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