1. CMB 2009 (vol 52 pp. 493)
|A One-Dimensional Family of $K3$ Surfaces with a $\Z_4$ Action |
The 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.
Keywords:genus three curves, $K3$ surfaces
Categories:14J28, 14J50, 14J10