Manchester Geometry Seminar 2005/2006

Up to deformation, there are three real types of elliptic curves which depend on the number of real ovals: 0, 1 or 2. All elliptic curves are hyper-elliptic, and there real forms can be obtained by the double covering of P¹/R ramified in four points, some of them conjugate. This gives equations of real elliptic curves.

K3 surfaces give a 2-dimensional generalization of elliptic curves. What about similar results as above for them? This will be the subject of the talk.