Deformations of K3 twistor families (Martin Schwald)

We aim for establishing a moduli theory for families of K3 surfaces over CP^1, most importantly, twistor families. While the moduli space of K3 surfaces is non-Hausdorff, the deformations of twistor families are classified by a smooth connected component in a cycle space. Furthermore, K3 surfaces over the same cycle share a geometric property. This is a joint work with Daniel Greb, building on earlier work with Ana-Maria Franzen-Brecan and Tim Kirschner.