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arXiv · 2202.12523

Special triple covers of algebraic surfaces

Nicolina Istrati·Piotr Pokora·Sönke Rollenske
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Abstract

We study special triple covers $f\colon T \to S$ 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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Nicolina Istrati, Piotr Pokora, Sönke Rollenske. 2022-02-25. Special triple covers of algebraic surfaces. https://doi.org/10.25537/dm.2022v27.2301-2332

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