The unirationality of the moduli space of K3 surfaces of genus 22

Using the connection discovered by Hassett between the Noether-Lefschetz moduli space C42 of special cubic fourfolds of discriminant 42 and the moduli space F22 of polarized K3 surfaces of genus 22, we show that the universal K3 surface over F22 is unirational.Peer Reviewe