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arXiv 2012-04-08 0 views

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

Keum, JongHae

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In characteristic p=0 or p>5, we show that a K3 surface with an order 60 automorphism is unique up to isomorphism. As a consequence, we characterize the supersingular K3 surface with Artin invariant 1 in characteristic p=11 (mod 12) by a cyclic symmetry of order 60.

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