Smooth degeneration of complete intersection curves in positive characteristic (Q1176635)
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scientific article; zbMATH DE number 12336
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Smooth degeneration of complete intersection curves in positive characteristic |
scientific article; zbMATH DE number 12336 |
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Smooth degeneration of complete intersection curves in positive characteristic (English)
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25 June 1992
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The author constructs a family of rank two bundles on \(\mathbb{P}^ 3\) such that the general member is a direct sum of line bundles but the special member is indecomposable. From this it follows that for all large \(n\) there exists a family of smooth curves in \(\mathbb{P}^ 3\) with general member a complete intersection of type \((n,n)\) and special member not a complete intersection. Note that the construction only works in positive characteristic.
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rank two bundles
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indecomposable bundles
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space curves
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not a complete intersection
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positive characteristic
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