Zariski K3 surfaces

authored by

Toshiyuki Katsura, Matthias Schütt

Abstract

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 α

_p, Kummer surfaces, and automorphisms of hyperelliptic curves.

Organisation(s)

Institut für Algebraische Geometrie
Riemann Center for Geometry and Physics

External Organisation(s)

Hosei University

Type

Artikel

Journal

Revista matemática iberoamericana

Volume

36

Pages

869–894

No. of pages

26

ISSN

0213-2230

Publication date

2020

Publication status

Veröffentlicht

Peer reviewed

Yes

ASJC Scopus Sachgebiete

Mathematik (insg.)

Electronic version(s)

https://doi.org/10.48550/arXiv.1710.08661 (Access: Offen)
https://doi.org/10.4171/rmi/1152 (Access: Geschlossen)