Rigidity for Appell's Hypergeometric Series F4

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概要

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• Appell's hypergeometric series F4 defines a multi-valued function in P2C$\\backslash$L with some hypersurface L, and then defines a local system over it. We show that the local system is physically rigid. Using this fact, we get a monodromy representation of F4 without using any analytic expression such as integral expression of F4. A condition for the irreducibility of the monodromy group is obtained. Relations to rigidity of several sections are considered.

• 日本数学会函数方程式論分科会の論文

著者

• Haraoka Yoshishige

  Kumamoto University

• Ueno Youichi

  Kagoshima Prefectural Police

関連論文

• Rigidity for Appell's Hypergeometric Series F4

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