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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/59671Let $ψ$ 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.latex2eAlgebraic Geometry14Theta constants associated with the cyclic triple coverings of the complex projective line branching at six pointstext