A note on simple K3 singularities and families of weighted K3 surfaces

We discuss properties of the Seifert form for simple K3 singularities, and of the Picard lattices of families of weighted K3 surfaces. We study a collection ℳ_(ρ , δ ) of K3 surfaces polarized by their Picard lattices that are in the set ℒ_(ρ , δ ) of certain lattices. We also report a numerical formula that relates the Seifert form for the singularities and the Picard lattice of the family.