Orders of automorphisms of K3 surfaces

Mathematics – Algebraic Geometry

Scientific paper

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38 pages

Scientific paper

We determine all posible orders of automorphisms of finite order of complex
K3 surfaces or of K3 surfaces in characteristic $p>3$. E.g., a positive integer
$N$ is the order of an automorphism of a complex K3 surface if and only if
$\phi(N)\le 20$ where $\phi$ is the Euler function.

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