Higher direct images of the structure sheaf in positive characteristic (Q435258)
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scientific article; zbMATH DE number 6054518
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Higher direct images of the structure sheaf in positive characteristic |
scientific article; zbMATH DE number 6054518 |
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Higher direct images of the structure sheaf in positive characteristic (English)
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11 July 2012
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In the article under review, the authors prove that for smooth projective varieties, the cohomology of the structure sheaf is a birational invariant and they show the vanishing of higher direct images of the structure and canonical sheaves for a proper birational morphism from a smooth variety to the quotient of a smooth variety by a finite group of order prime to the characteristic of the ground field. These results are well known in characteristic \(0\).
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birational geometry
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rational singularities
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