Zariski K3 surfaces

• Toshiyuki Katsura ^[1] ; Matthias Schütt ^[2]
  1. [1] University of Tokyo

     University of Tokyo

     Japón

     
  2. [2] University of Hannover

     University of Hannover

     Region Hannover, Alemania

     
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 36, Nº 3, 2020, págs. 869-894
• Idioma: inglés
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• Resumen

  • 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.