The converse of a theorem by Bayer and Stillman (Q308975)
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scientific article; zbMATH DE number 6624145
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The converse of a theorem by Bayer and Stillman |
scientific article; zbMATH DE number 6624145 |
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The converse of a theorem by Bayer and Stillman (English)
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6 September 2016
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From the author's abstract: ``We show that the reverse lexicographical order is the unique monomial order \(\tau\) satisfying \(\mathrm{reg}(I)=\mathrm{reg}(\mathrm{gin}_\tau(I))\) for all ideals \(I\). We also show that if \(\mathrm{gin}_{\tau_1}(I)=\mathrm{gin}_{\tau_2}(I)\) for all \(I\), then \(\tau_1=\tau_2\).''
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Castelnuovo-Mumford regularity
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monomial order
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generic initial ideal
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reverse lexicographical order
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0.9222839
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0.90492666
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0.90121514
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