Order 6 non-symplectic automorphisms of K3 surfaces

Details Order 6 non-symplectic automorphisms of K3 surfaces Order 6 non-symplectic automorphisms of K3 surfaces

2009-12-28

arxiv.org/abs/0912.5228v2

Mathematics

Algebraic Geometry

Rephrased the main theorem to remove a discrepancy with section 9

Scientific paper

We classify primitive non-symplectic automorphisms of order 6 on K3 surfaces.
We show how their study can be reduced to the study of non-symplectic
automorphisms of order 3 and to a local analysis of the fixed loci. In
particular, we determine the possible fixed loci and show that when the Picard
lattice is fixed, K3 surfaces come in mirror pairs.

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