English

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

Algebraic Geometry 2015-05-12 v1

Abstract

We give uniformizations of the Klein quartic curve and the Fermat septic curve as Shimura curves parametrizing Abelian 66-folds with endomorphisms \ZZ[\z7]\ZZ[\z_7].

Keywords

Cite

@article{arxiv.1505.02471,
  title  = {The Fermat septic and the Klein quartic as moduli spaces of hypergeometric Jacobians},
  author = {Kenji Koike},
  journal= {arXiv preprint arXiv:1505.02471},
  year   = {2015}
}