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Résumé |
The K3 surfaces are complex algebraic surfaces with remarkable properties.
A property that characterizes them, is the existence of a unique, up to scalar multiplication,
global holomorphic two form which is never zero.
In the last years their group of symmetry, the automorphisms of the K3 surfaces,
aroused a lot of interest and it has been much studied. Depending on the action on the
holomorphic
two form, which can be trivial or not, an automorphism is called symplectic or non-symplectic.
After an introduction on the subject, the aim of the talk is to show recent results
in the study of non-symplectic automorphisms of 2-power order.
In particular in the case of the order 16, I give a full description
of the families of K3 surfaces carrying such automorphisms. |
