Geodesic
Special triple covers of algebraic surfaces
Documenta mathematica, Tome 27 (2022), pp. 2301-2332.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

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.
Classification : 14J10, 14J29
Keywords: triple covers, K3 surfaces, surface of general type 
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     title = {Special triple covers of algebraic surfaces},
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Istrati, Nicolina; Pokora, Piotr; Rollenske, Sönke. Special triple covers of algebraic surfaces. Documenta mathematica, Tome 27 (2022), pp. 2301-2332. http://geodesic.mathdoc.fr/item/DOCMA_2022__27__a9/