L2 Extensions with Singular Metrics on Kähler Manifolds

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 cont...

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Veröffentlicht in:Acta mathematica scientia 2021-11, Vol.41 (6), p.2021-2038
Hauptverfasser: Zhou, Xiangyu, Zhu, Langfeng
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:0252-9602
1572-9087
DOI:10.1007/s10473-021-0614-2