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Theta constants associated with the cyclic triple coverings of the complex projective line branching at six points

K. Matsumoto
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Abstract

Let $ψ$ be the period map for a family of the cyclic triple coverings of the complex projective line branching at six points. The symmetric group $S_6$ acts on this family and on its image under $ψ.$ In this paper, we give an $S_6$-equivariant expression of $ψ^{-1}$ in terms of fifteen theta constants.

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K. Matsumoto. 2000-08-03. Theta constants associated with the cyclic triple coverings of the complex projective line branching at six points. https://arxiv.org/abs/math/0008025

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