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Theta constants associated to coverings of P^1 branching at 8 points

Keiji Matsumoto·Tomohide Terasoma
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Abstract

We construct automorphic forms on the 5-dimensional complex ball which give the inverse of the period map for cyclic 4-ple coverings of the complex projective line branching at eight points with branching index (1/4,...,1/4).

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Keiji Matsumoto, Tomohide Terasoma. 2003-03-08. Theta constants associated to coverings of P^1 branching at 8 points. https://arxiv.org/abs/math/0208040

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