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arXiv · 2003.08985

An atlas of K3 surfaces with finite automorphism group

Xavier Roulleau
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Abstract

We study the geometry of the K3 surfaces $X$ with a finite number automorphisms and Picard number $\geq 3$. We describe these surfaces classified by Nikulin and Vinberg as double covers of simpler surfaces or embedded in a projective space. We study moreover the configurations of their finite set of $(-2)$-curves.

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Xavier Roulleau. 2020-03-19. An atlas of K3 surfaces with finite automorphism group. https://doi.org/10.46298/epiga.2022.6286

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