Codimension two linear varieties with nilpotent structures (Q1202206)

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scientific article; zbMATH DE number 108646
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Codimension two linear varieties with nilpotent structures
scientific article; zbMATH DE number 108646

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    Codimension two linear varieties with nilpotent structures (English)
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    2 February 1993
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    Continuing his earlier work in Rev. Roum. Math. Pures Appl. 31, 563-575 (1986; Zbl 0607.14027), the author classifies multiple Cohen-Macaulay scheme structures of multiplicity \(\leq 4\) on a codimension 2 linear subspace of the projective space over an algebraically closed field. This is done by describing first a general procedure for obtaining multiple structures of multiplicity \(\leq 4\) on a codimension \(\geq 2\) smooth subscheme of a smooth scheme.
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    multiple Cohen-Macaulay scheme
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    multiplicity
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