Special triple covers of algebraic surfaces
Copyright policy )Special triple covers of algebraic surfaces
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.
- Philipps-University of Marburg Germany
- Pedagogical University of Kraków Poland
Surfaces of general type, \(K3\) surfaces, Mathematics - Algebraic Geometry, 14J10, 14J29, triple covers, surface of general type, FOS: Mathematics, Families, moduli, classification: algebraic theory, Tschirnhausen bundles, Algebraic Geometry (math.AG)
Surfaces of general type, \(K3\) surfaces, Mathematics - Algebraic Geometry, 14J10, 14J29, triple covers, surface of general type, FOS: Mathematics, Families, moduli, classification: algebraic theory, Tschirnhausen bundles, Algebraic Geometry (math.AG)
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