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An Explicit Belyi Map for the Wiman Sextic and Cusp Forms for a Noncongruence Subgroup

Horie, Madoka et al.
arXiv (OAI Expanded) · Papers
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algebraic-geometrynumber-theory
In this paper, we explicitly determine an algebraic Belyi function on a unique smooth projective model $\widetilde{W}$ of the Wiman sextic curve $W$ and describe its complex uniformization in terms of modular functions associated with a certain noncongruence subgroup $Γ_{\widetilde{W}} \subset {\rm
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