2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/112676The minimal resolution of the degree four cyclic cover of the plane branched along a GIT stable quartic is a K3 surface with a non symplectic action of Z_4. In this paper we study the geometry of the one dimensional family of K3 surfaces associated to the locus of plane quartics with five nodes.Algebraic Geometry14J10; 14J28; 14H10A one dimensional family of K3 surfaces with a Z_4 actiontext