On the reducibility of the postulation Hilbert scheme (Q2569866)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the reducibility of the postulation Hilbert scheme |
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On the reducibility of the postulation Hilbert scheme (English)
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26 April 2006
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Let \(H\) be the Hilbert function of some \(0\)-dimensional subscheme of \(\mathbb P^n\). The main result of this paper shows that, if the set of the sequences of Betti numbers compatible with \(H\) has no minimum element, then the scheme \(\text{Hilb}^H(\mathbb P^n)\) is reducible.
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