Seminario Nacional de Geometría Algebraica en línea

13 de marzo

"Deformations of K3 twistor families (joint work with Daniel Greb)"

Martin Schwald, Universidad de Colonia, Alemania

Resumen

We construct a Hausdorff fine moduli space of K3 families over P^1. In the spirit of the classical K3 theory, we discuss analogs of the Torelli Theorems and the Surjectivity of the period map for these families. Our interest originates from K3 twistor families, whose small deformations can be related to complex hyperkähler metrics on K3 surfaces.