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L2 Extensions with Singular Metrics on Kähler Manifolds

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Abstract

In this paper, we give a survey of our recent results on extension theorems on Kähler manifolds for holomorphic sections or cohomology classes of (pluri)canonical line bundles twisted with holomorphic line bundles equipped with singular metrics, and also discuss their applications and the ideas contained in the proofs.

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Author information

Authors and Affiliations

  1. Institute of Mathematics, AMSS, and Hua Loo-Keng Key Laboratory of Mathematics, Chinese Academy of Sciences, Beijing, 100190, China

    Xiangyu Zhou  (周向宇)

  2. School of Mathematics and Statistics, Wuhan University, Wuhan, 430072, China

    Langfeng Zhu  (朱朗峰)

Authors
  1. Xiangyu Zhou  (周向宇)
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  2. Langfeng Zhu  (朱朗峰)
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Corresponding author

Correspondence to Xiangyu Zhou  (周向宇).

Additional information

Dedicated to the memory of Professor Jiarong YU

Xiangyu Zhou was partially supported by the National Natural Science Foundation of China (11688101 and 11431013). Langfeng Zhu was partially supported by the National Natural Science Foundation of China (12022110, 11201347 and 11671306).

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Zhou, X., Zhu, L. L2 Extensions with Singular Metrics on Kähler Manifolds. Acta Math Sci 41, 2021–2038 (2021). https://doi.org/10.1007/s10473-021-0614-2

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  • DOI: https://doi.org/10.1007/s10473-021-0614-2

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