JournalsdmVol. 27pp. 2301–2332

Special triple covers of algebraic surfaces

  • Nicolina Istrati

    FB 12/Mathematik und Informatik, Philipps-Universität Marburg, Hans-Meerwein-Str. 6, D-35032 Marburg, Germany

  • Piotr Pokora

    Department of Mathematics, Pedagogical University of Krakow, Podchorążych 2, PL-30-084 Kraków, Poland

  • Sönke Rollenske

    FB 12/Mathematik und Informatik, Philipps-Universität Marburg, Hans-Meerwein-Str. 6, D-35032 Marburg, Germany
Special triple covers of algebraic surfaces cover
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Abstract

We study special triple covers of algebraic surfaces, where the Tschirnhausen bundle 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.

Cite this article

Nicolina Istrati, Piotr Pokora, Sönke Rollenske, Special triple covers of algebraic surfaces. Doc. Math. 27 (2022), pp. 2301–2332

DOI 10.4171/DM/X30