Cohomology gaps for sheaves on threefolds (Q652128)
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scientific article; zbMATH DE number 5990110
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Cohomology gaps for sheaves on threefolds |
scientific article; zbMATH DE number 5990110 |
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Cohomology gaps for sheaves on threefolds (English)
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19 December 2011
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In the paper under review, the authors study reflexive sheaves \(E\) of rank \(r\geq 2\), on a smooth projective \(n\)-fold with \(n\geq 3\), framed over a smooth, ample, and effective divisor. They show that some values of the cohomology cannot occur, in particular they show that \(h^0(X,E)\neq r-1\). They also discuss numerous examples.
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Framed reflexive sheaves
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cohomology invariants
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