Cyclic groups of automorphisms of complex K3 surfaces

preprint2012arXivOpen access

We determine all possible orders of automorphisms of complex K3 surfaces. A positive integer N is the order of an automorphism of a complex K3 surface if and only if $ϕ(N) \leq 20$ where $ϕ$ is the Euler function.

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Cyclic groups of automorphisms of complex K3 surfaces

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