Elsevier

Advances in Mathematics

Volume 303, 5 November 2016, Pages 39-87
Advances in Mathematics

Orders of automorphisms of K3 surfaces

https://doi.org/10.1016/j.aim.2016.08.014Get rights and content
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Abstract

We determine all orders of automorphisms of complex K3 surfaces and of K3 surfaces in characteristic p>3. In particular, 66 is the maximum finite order in each characteristic p2,3. As a consequence, we give a bound for the orders of finite groups acting on K3 surfaces in characteristic p>7.

MSC

14J28
14J50

Keywords

K3 surfaces
Automorphisms

Cited by (0)

Research supported by National Research Foundation of Korea (NRF-2007-0093858).