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arXiv · 2209.06698

Automorphisms of K3 surfaces, signatures, and isometries of lattices

Eva Bayer-Fluckiger
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Abstract

Every Salem numbers of degree 4,6,8,12,14 or 16 is the dynamical degree of an automorphism of a non-projective K3 surface. We define a notion of signature of an automorphism, and use it to give a necessary and sufficient condition for Salem numbers of degree 10 and 18 to be realized as the dynamical degree of such an automorphism. The first part of the paper contains results on isometries of lattices.

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Eva Bayer-Fluckiger. 2022-09-14. Automorphisms of K3 surfaces, signatures, and isometries of lattices. https://arxiv.org/abs/2209.06698

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