Period map of a certain K3 family with an S5-action
arXiv:0904.0072
Abstract
In this paper, we study the period map of a certain one-parameter family of quartic K3 surfaces with an S5-action. We construct automorphic forms on the period domain as the pull-backs of theta constants of genus 2 by a modular embedding. Using these automorphic forms, we give an explicit presentation of the inverse period map.
arXiv comment70 pages including an appendix by Tomohide Terasoma