L2 EXTENSIONS WITH SINGULAR METRICS ON KÄHLER MANIFOLDS

doi:10.1007/s10473-021-0614-2

Abstract

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.

Key words: singular metric, optimal L² extension theorem, strong openness of multiplier ideal sheaf, generalized Siu's lemma, weakly pseudoconvex Kähler manifold

CLC Number:

32D15

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

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References 46

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L² EXTENSIONS WITH SINGULAR METRICS ON KÄHLER MANIFOLDS

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