Classification of Picard lattices of K3 surfaces

Abstract

Using the results of our papers [1]–[4] on the classification of degenerations of Kählerian K3 surfaces, we classify the Picard lattices of Kählerian K3 surfaces. By classification we mean classification depending on their possible finite symplectic automorphism groups and their non- singular rational curves when the Picard lattice is negative definite.