The Fermat septic and the Klein quartic as moduli spaces of hypergeometric Jacobians

preprint2015arXivOpen access

We give uniformizations of the Klein quartic curve and the Fermat septic curve as Shimura curves parametrizing Abelian $6$ -folds with endomorphisms $\ZZ[\z_7]$.

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The Fermat septic and the Klein quartic as moduli spaces of hypergeometric Jacobians

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