Abstract
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 pseudo-effective and the first Chern class \(c_1^{BC}\) (E) is zero.
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Conflicts of interest The authors declare no conflicts of interest.
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This work was supported by the 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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Chen, Y., Zhang, X. Pseudo-Effective Vector Bundles with Vanishing First Chern Class on Astheno-Kähler Manifolds. Chin. Ann. Math. Ser. B 44, 819–826 (2023). https://doi.org/10.1007/s11401-023-0046-5
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DOI: https://doi.org/10.1007/s11401-023-0046-5