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arxiv: 1502.02765 · v2 · pith:MTOB3EVQnew · submitted 2015-02-10 · 🧮 math.AG

Example of an order 16 non symplectic action on a K3 surface

classification 🧮 math.AG
keywords exampleordersurfaceactionautomorphismcaseclassificationcurve
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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.

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