Special triple covers of algebraic surfaces (Q2695706)
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scientific article; zbMATH DE number 7671242
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Special triple covers of algebraic surfaces |
scientific article; zbMATH DE number 7671242 |
Statements
Special triple covers of algebraic surfaces (English)
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3 April 2023
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Summary: We study special triple covers \(f:T\to S\) of algebraic surfaces, where the Tschirnhausen bundle \(\mathcal{E}=\left(f_*\mathcal{O}_T/\mathcal{O}_S\right)^\vee\) is a quotient of a split rank three vector bundle, and we provide several necessary and sufficient criteria for the existence. As an application, we give a complete classification of special triple planes, finding among others two nice families of K3 surfaces.
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triple covers
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K3 surfaces
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surface of general type
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