Degenerations of Horrocks-Mumford surfaces (Q1114781)
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scientific article; zbMATH DE number 4083811
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Degenerations of Horrocks-Mumford surfaces |
scientific article; zbMATH DE number 4083811 |
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Degenerations of Horrocks-Mumford surfaces (English)
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1987
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The Horrocks-Mumford bundle is a certain rank-2 vector bundle on \({\mathbb{P}}_ 4\) and the zero sets of its global non-zero sections are surfaces of degree \( 10,\) called Horrocks-Mumford surfaces. The smooth ones are abelian surfaces and of the singular ones a complete classification with geometrical descriptions is obtained in the paper.
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singular Horrocks-Mumford surfaces
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Horrocks-Mumford bundle
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