Cyclic groups of automorphisms of complex K3 surfaces

Details Cyclic groups of automorphisms of complex K3 surfaces Cyclic groups of automorphisms of complex K3 surfaces

2012-02-28

arxiv.org/abs/1202.6178v3

Mathematics

Algebraic Geometry

13 pages. Th existence of order 60 is included

Scientific paper

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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