The unirationality of the moduli spaces of 2-elementary K3 surfaces (with an Appendix by Ken-Ichi Yoshikawa)

Abstract

We prove that the moduli spaces of K3 surfaces with non-symplectic involutions are unirational. As a by-product we describe configuration spaces of 4<d<9 points in the projective plane as arithmetic quotients of type IV.

32 pages, simplified exposition, to appear in Proc. London Math. Soc

References in corpus (3)

• A Complex Ball Uniformization of the Moduli Space of Cubic Surfaces Via Periods of K3 Surfaces
• The moduli space of 5 points on P^1 and K3 surfaces
• Rationality of the moduli spaces of 2-elementary K3 surfaces

Cited by in corpus (1)

• Higher Chow cycles on some K3 surfaces with involution