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

2015/05/11 by Kenji Koike, Koike, Kenji
Mathematics · #Advanced Algebra and Geometry #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #math.AG

paper · pdf · doi:10.48550/arxiv.1505.02471

arxiv created 2015/05/11 · openalex publication_date 2015/05/11 · arxiv updated 2015/05/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give uniformizations of the Klein quartic curve and the Fermat septic curve as Shimura curves parametrizing Abelian 6-folds with endomorphisms \ZZ[\z₇].

Citations

• K3 surfaces with a non-symplectic automorphism and product-quotient surfaces with cyclic groups

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