Theta constants associated to coverings of P¹ branching at 8 points

2002/08/06 by Keiji Matsumoto, Matsumoto, Keiji, Tomohide Terasoma +1
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Geometry and complex manifolds #math.AG

paper · pdf · doi:10.48550/arxiv.math/0208040

arxiv created 2003/03/08 · arxiv updated 2009/11/30

Abstract

We construct automorphic forms on the 5-dimensional complex ball which give the inverse of the period map for cyclic 4-ple coverings of the complex projective line branching at eight points with branching index (1/4,...,1/4).

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