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Mathematics

Georgia Southern University

2016

Automorphism

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Example Of An Order 16 Non Symplectic Action On A K3 Surface, Jimmy J. Dillies Jul 2016

Example Of An Order 16 Non Symplectic Action On A K3 Surface, Jimmy J. Dillies

Department of Mathematical Sciences Faculty Publications

We exhibit an example of a K3 surface of Picard rank 14 with a non-symplectic automorphism of order 16 which fixes a rational curve and 10 isolated points. This settles the existence problem for the last case of Al Tabbaa, Sarti and Taki's classification.