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arxiv: 1505.02471 · v1 · pith:CQWVSNM7new · submitted 2015-05-11 · 🧮 math.AG

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

classification 🧮 math.AG
keywords curvefermatkleinquarticsepticabeliancurvesendomorphisms
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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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