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

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

2000-08-03

arxiv.org/abs/math/0008025v1

Mathematics

Algebraic Geometry

latex2e

Scientific paper

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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