Zariski K3 surfaces
Toshiyuki KatsuraThe University of Tokyo, Japan
Matthias SchüttLeibniz-Universität Hannover, Germany and Riemann Center for Geometry and Physics, Hannover, Germany
We construct Zariski K3 surfaces of Artin invariant 1, 2 and 3 in many characteristics. In particular, we prove that any supersingular Kummer surface is Zariski if mod 12. Our methods combine different approaches such as quotients by the group scheme , Kummer surfaces, and automorphisms of hyperelliptic curves.
Cite this article
Toshiyuki Katsura, Matthias Schütt, Zariski K3 surfaces. Rev. Mat. Iberoam. 36 (2020), no. 3, pp. 869–894DOI 10.4171/RMI/1152