Families of K3 surfaces and curves of (2,3)-torus type
arXiv:1902.02195
Abstract
We study families of surfaces obtained by double covering of the projective plane branching along curves of -torus type. In the first part, we study the Picard lattices of the families, and a lattice duality of them. In the second part, we describe a deformation of singularities of Gorenstein surfaces in these families.
20 pages, 5 figures. To appear in Kodai Math. J