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arXiv · 0904.0072

Period map of a certain K3 family with an S5-action

Kenji Hashimoto·Tomohide Terasoma
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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.

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Kenji Hashimoto, Tomohide Terasoma. 2009-04-01. Period map of a certain K3 family with an S5-action. https://arxiv.org/abs/0904.0072

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