The K3 surfaces occupy an important place in the classification of algebraic surfaces.
In this talk I will present some interplay between them and complex reflection groups :
first of all by using certain subgroups of complex reflection groups one can construct
several families of K3 surfaces. The theory of complex reflection groups helps
in the understanding of the properties of these families avoiding as much as possible
a case-by-case analysis. Secondly complex reflection groups appear also
in the study of the automorphism group of K3 surfaces.
These results come from joint works with C. Bonnafé.
Complex Reflection Groups and K3 surfaces
Alessandra SARTI
Université de Poitiers
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