On the irreducibility of Hilbert scheme of surfaces of minimal degree (Q1935604)
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scientific article; zbMATH DE number 6137072
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the irreducibility of Hilbert scheme of surfaces of minimal degree |
scientific article; zbMATH DE number 6137072 |
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On the irreducibility of Hilbert scheme of surfaces of minimal degree (English)
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18 February 2013
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The Hilbert scheme of irreducible surfaces of degree \(m\) in projective \({\mathbb P}^{m+1}\) is irreducible, except for \(m=4\) when the Hilbert scheme has two components. The article provides a new proof of this result using generic coverings of the projective plane.
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Hilbert scheme
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irreducible surfaces of minimal degree
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coverings of the plane
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