Smooth degeneration of complete intersection curves in positive characteristic (Q1176635)

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scientific article; zbMATH DE number 12336
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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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