Orders of automorphisms of \(K3\) surfaces. (English) Zbl 1375.14125
Summary: 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 \(p \neq 2, 3\). As a consequence, we give a bound for the orders of finite groups acting on \(K3\) surfaces in characteristic \(p > 7\).
MSC:
| 14J28 | \(K3\) surfaces and Enriques surfaces |
| 14J50 | Automorphisms of surfaces and higher-dimensional varieties |
| 14J27 | Elliptic surfaces, elliptic or Calabi-Yau fibrations |
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