Resumen de Zariski K3 surfaces

Toshiyuki Katsura, Matthias Schütt

• 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 p≢1 mod 12. Our methods combine different approaches such as quotients by the group scheme αp, Kummer surfaces, and automorphisms of hyperelliptic curves.