Gotzmann theorems for exterior algebras and combinatorics (Q1357556)
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scientific article; zbMATH DE number 1019690
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Gotzmann theorems for exterior algebras and combinatorics |
scientific article; zbMATH DE number 1019690 |
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Gotzmann theorems for exterior algebras and combinatorics (English)
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7 July 1997
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Two fundamental theorems on Hilbert functions, the regularity theorem and the persistence theorem proved by \textit{G. Gotzmann} [Math. Z. 158, 61-70 (1978; Zbl 0352.13009)] which complement Macaulay's theorem achieve broad attention in the last ten years. The authors follow the ideas of \textit{A. M. Bigatti} [Commun. Algebra 21, No. 7, 2317-2334 (1993; Zbl 0817.13007)] and use Gröbner bases to present the Gotzmann theorems for exterior algebras.
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exterior algebra
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Gotzmann theorem
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Gröbner basis
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Hilbert function
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