Siu's lemma: generalizations and applications (Q6064596)
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scientific article; zbMATH DE number 7763422
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Siu's lemma: generalizations and applications |
scientific article; zbMATH DE number 7763422 |
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Siu's lemma: generalizations and applications (English)
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10 November 2023
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Summary: In this survey paper, we present some generalizations of Siu's lemma related to multiplier ideal sheaves and discuss their applications in some problems related to optimal \(L^2\) extension, comparison between singular metrics on exceptional fibers of twisted relative pluricanonical bundles, and subadditivity of Kodaira-Iitaka dimensions with multiplier ideal sheaves. We also discuss some ideas in the proofs. For the entire collection see [Zbl 1519.00033].
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optimal \(L^2\) extension
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multiplier ideal sheaf
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singularities of plurisubharmonic functions
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strong openness
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