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arxiv: 1202.6178 · v4 · pith:QZW3XUURnew · submitted 2012-02-28 · 🧮 math.AG

Cyclic groups of automorphisms of complex K3 surfaces

classification 🧮 math.AG
keywords complexautomorphismssurfacesautomorphismcyclicdetermineeulerfunction
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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 $\phi(N) \leq 20$ where $\phi$ is the Euler function.

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