Articles

L2 EXTENSIONS WITH SINGULAR METRICS ON KÄHLER MANIFOLDS

  • Xiangyu ZHOU ,
  • Langfeng ZHU
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  • 1. Institute of Mathematics, AMSS, and Hua Loo-Keng Key Laboratory of Mathematics, Chinese Academy of Sciences, Beijing 100190, China;
    2. School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China

Received date: 2021-04-01

  Revised date: 2021-08-24

  Online published: 2021-12-27

Supported by

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).

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.

Cite this article

Xiangyu ZHOU , Langfeng ZHU . L2 EXTENSIONS WITH SINGULAR METRICS ON KÄHLER MANIFOLDS[J]. Acta mathematica scientia, Series B, 2021 , 41(6) : 2021 -2038 . DOI: 10.1007/s10473-021-0614-2

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