On the Hilbert function of Artinian local complete intersections of codimension three (Q2690458)
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scientific article; zbMATH DE number 7663841
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the Hilbert function of Artinian local complete intersections of codimension three |
scientific article; zbMATH DE number 7663841 |
Statements
On the Hilbert function of Artinian local complete intersections of codimension three (English)
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17 March 2023
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In the paper under review, the authors give a rigorous characterization of the Hilbert functions of quadratic complete intersections of codimension three. Especially, they show that Hilbert function is admissible for Gorenstein ring if and only if it is admissible for a complete intersection. Then, for a given Hilbert function, they succeed to provide a local complete intersection.
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Hilbert functions
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complete intersection ring
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Gorenstein rings
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Macaulay's inverse system
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symmetric decomposition
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