turkmath.org

In this talk we give a deeper insight into the theory of K3-surfaces, which essentially boils down to the global Torelli theorem, subjectivity of period map and Riemann Roch theorem (for example, we conclude that all singular points of a K3-surface have to be simple ones). After recalling principle properties of K3-surfaces, we explain the arithmetical reduction of various classification problems, concentrating on the geometric aspects of the arithmetical restrictions appearing in the statements.