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A sharp bound for the number of points where a rank 3 stable reflexive sheaf is not free - MaRDI portal

A sharp bound for the number of points where a rank 3 stable reflexive sheaf is not free (Q580448)

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scientific article; zbMATH DE number 4017069
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A sharp bound for the number of points where a rank 3 stable reflexive sheaf is not free
scientific article; zbMATH DE number 4017069

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    A sharp bound for the number of points where a rank 3 stable reflexive sheaf is not free (English)
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    1986
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    Let E be a reflexive sheaf on \({\mathbb{P}}^ 3\). Then E is locally free except on a finite set. The sheaf Ext\(^ 1(E,0)\) has as support exactly this set. The paper obtains bounds for the length of this sheaf in terms of the Chern classes of E when E is stable and of rank 3 with a stable hyperplane section.
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    reflexive sheaf
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    Ext
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    Chern classes
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