2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/158137Every indefinite binary form occurs as the Picard lattice of some K3-surface. The group of its isometries, or automorphs, coincides with the automorphism group of the K3-surface, but only up to finite groups. The classical theory of automorphs for binary forms can then be applied to study these automorphism groups. The result is a precise description of all possible automorphism groups of ``general'' K3's with Picard number two.Algebraic Geometry14J28,14J50Automorphs of indefinite binary quadratic forms and K3-surfaces with Picard number 2text