The construction of some Gorenstein ideals of codimension \(4\) (Q1295512)

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scientific article; zbMATH DE number 1308167
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The construction of some Gorenstein ideals of codimension \(4\)
scientific article; zbMATH DE number 1308167

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    The construction of some Gorenstein ideals of codimension \(4\) (English)
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    24 January 2000
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    Let \(\mathbb{P}^n\) be the \(n\)-dimensional projective space over an infinite field \(k\). The author generalizes the result by \textit{A. V. Geramita, Yong Su Shin} and \textit{M. Pucci} [in: The curves Seminar at Queen's. Vol. X, Lect. Genova and Kingston 1995, Queen's Pap. Pure Appl. Math. 102, 256-297 (1996; Zbl 0877.13019)] and obtains the number and degrees of generators of an ideal of a \(k\)-configuration in \(\mathbb{P}^3\). Then a Gorenstein ideal of codimension \(4\) is constructed.
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    \(k\)-configuration
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    generators of an ideal
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    Gorenstein ideal of codimension 4
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