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 |
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Hauptverfasser: | , |
Format: | Artikel |
Sprache: | eng |
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Online-Zugang: | Volltext |
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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. |
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ISSN: | 0252-9602 1572-9087 |
DOI: | 10.1007/s10473-021-0614-2 |