Direct images of adjoint line bundles (Q1265292)
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scientific article; zbMATH DE number 1203516
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Direct images of adjoint line bundles |
scientific article; zbMATH DE number 1203516 |
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Direct images of adjoint line bundles (English)
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16 November 1999
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The author studies ampleness and positivity properties of the direct image \(\varphi_*L\) of a holomorphic line bundle \(L\) under a smooth morphism \(\varphi:X\to Y\) between compact complex analytic manifolds. It is shown that, in general, the ampleness of \(L\) does not imply that of the direct image \(\varphi_*L\) but only that of the direct image of the adjoint line bundle \(\varphi_* (K_{X/Y}\otimes L)\).
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direct image of holomorphic line bundle
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ampleness
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adjoint line bundle
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