Period map of a certain K3 family with an S5-action
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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.
70 pages including an appendix by Tomohide Terasoma
70 pages including an appendix by Tomohide Terasoma