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

2023/05/08 by Mase, Makiko
#14J17 14J28 32S25 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2305.04418

Abstract

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.

Related

• Picard lattices of families of K3 surfaces
• Trascendental Lattices of some K3-surfaces
• On lattice-polarized K3 surfaces
• Study on the family of K3 surfaces induced from the lattice (D₄)³ ⊕ < -2 > ⊕ < 2 >
• Note on a Geometric Isogeny of K3 Surfaces