A vanishing theorem for line bundles on resolutions of surface singularities (Q1913331)
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scientific article; zbMATH DE number 878379
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A vanishing theorem for line bundles on resolutions of surface singularities |
scientific article; zbMATH DE number 878379 |
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A vanishing theorem for line bundles on resolutions of surface singularities (English)
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30 June 1996
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A numerical criterion is given for the vanishing of the first cohomology of an invertible sheaf on a resolution of a normal complex analytic surface singularity. The criterion is sharp for rational surface singularities. Applications are given, including simplified proofs of vanishing results already in the literature.
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vanishing of the first cohomology
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rational surface singularities
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