Abstract
We study the dynamics of the automorphisms group of K3 surfaces. Assuming that the surface contains two elliptic fibrations that are invariant by non-periodic automorphisms, we give the classification of invariant probability measures. We also describe the closure of orbits and then give applications to the repartition of rational points on K3 surfaces.
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Cantat, S. Sur la dynamique du groupe d'automorphismes des surfaces K3. Transformation Groups 6, 201–214 (2001). https://doi.org/10.1007/BF01263089
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DOI: https://doi.org/10.1007/BF01263089