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L^(2) EXTENSIONS WITH SINGULAR METRICS ON K?HLER MANIFOLDS

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摘要 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.
作者 周向宇 朱朗峰 Xiangyu ZHOU;Langfeng ZHU(Institute of Mathematics,AMSS,and Hua Loo-Keng Key Laboratory of Mathematics,Chinese Academy of Sciences,Beijing,100190,China;School of Mathematics and Statistics,Wuhan University,Wuhan,430072,China)
出处 《Acta Mathematica Scientia》 SCIE CSCD 2021年第6期2021-2038,共18页 数学物理学报(B辑英文版)
基金 the National Natural Science Foundation of China(11688101 and 11431013) the National Natural Science Foundation of China(12022110,11201347 and 11671306).
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