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

Source: [Theta constants associated with the cyclic triple coverings of the complex projective line branching at six points](<https://www.sota2.com/research/paper/68fa4c961e209131ce94d8b1>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-27T04:42:56.006Z

Authors: K. Matsumoto

Published: 2000-08-03T04:41:24.000Z

## Abstract

Let $\\psi$ 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 $\\psi.$ In this paper, we give an $S\_6$-equivariant expression of $\\psi^{-1}$ in terms of fifteen theta constants.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/math/0008025>)

[PDF](<https://arxiv.org/pdf/math/0008025.pdf>)