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In characteristic $p=0$ or $p>5$, we show that a K3 surface with an order 60automorphism is unique up to isomorphism. As a consequence, we characterize thesupersingular K3 surface with Artin invariant 1 in characteristic $p=11$ (mod12) by a cyclic symmetry of order 60.

K3 surfaces with an order 60 automorphism and a characterization of supersingular K3 surfaces with Artin invariant 1