Stratifying families of torsion-free sheaves on a smooth surface by their singularities (Q1964001)
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scientific article; zbMATH DE number 1398629
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stratifying families of torsion-free sheaves on a smooth surface by their singularities |
scientific article; zbMATH DE number 1398629 |
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Stratifying families of torsion-free sheaves on a smooth surface by their singularities (English)
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13 May 2001
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In this paper, after defining a stratification of the singular locus in the base space of a versal deformation of a torsion-free module over \(k[[x,y]]\), by projecting a Fitting stratification of the total space, one shows that the strata are irreducible. One applies the results to torsion-free sheaves on \(\mathbb{P}^2\).
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torsion-free sheaf
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stratification of the singular locus
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versal deformation
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Fitting stratification
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