MINIMAL SCHWARZ MAPS OF _3 F_2 WITH FINITE IRREDUCIBLE MONODROMY GROUPS

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概要

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• The generalized hypergeometric function $ _3 F_2(a_0, a_1, a_2; b_1, b_2; z) $ satisfies the Fuchsian differential equation $ _3 E_2 $ of rank three. Beukers and Heckman classified all of the possible parameter sets of $ _3 E_2 $ with finite irreducible primitive monodromy groups into 11 classes. In each of these classes, we determine the parameter set of $ _3 E_2 $ such that the image curve (in the projective plane) of the Schwarz map defined by the ratio of its three independent solutions attains the minimal degree.

• Faculty of Mathematics, Kyushu Universityの論文

著者

• Kato Mitsuo

  Department Of Mathematics College Of Education University Of The Ryukyus

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