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Hyperbolic Schwarz map of the confluent hypergeometric differential equation

Hyperbolic Schwarz map of the confluent hypergeometric differential equation

The hyperbolic Schwarz map is defined in [SYY1] as a map from the complex projective line to the three-dimensional real hyperbolic space by use of solutions of the hypergeometric differential equation. Its image is a flat front ([GMM], [KUY], [KRSUY]), and generic singularities are cuspidal edges and swallowtail singularities. In …