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TITLE K3 surfaces with an order 50 automorphism
KIAS AUTHORS Keum, JongHae
JOURNAL JOURNAL OF PURE AND APPLIED ALGEBRA, 2019
ARCHIVE  
ABSTRACT In any characteristic p different from 2 and 5, Kondo gave an example of a K3 surface with a purely non-symplectic automorphism of order 50. The surface was explicitly given as a double plane branched along a smooth sextic curve. In this note we show that, in any characteristic p not equal 2,5, a K3 surface with a cyclic action of order 50 is isomorphic to the example of Kondo. (C) 2018 Elsevier B.V. All rights reserved.
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