Opuscula Math. 35, no. 5 (2015), 567-594
http://dx.doi.org/10.7494/OpMath.2015.35.5.567
Opuscula Mathematica
Rigidity of monodromies for Appell's hypergeometric functions
Yoshishige Haraoka
Tatsuya Kikukawa
Abstract. For monodromy representations of holonomic systems, the rigidity can be defined. We examine the rigidity of the monodromy representations for Appell's hypergeometric functions, and get the representations explicitly. The results show how the topology of the singular locus and the spectral types of the local monodromies work for the study of the rigidity.
Keywords: rigidity, monodromy, arrangement of hyperplanes.
Mathematics Subject Classification: 33C65, 57M05.
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- Yoshishige Haraoka
- Kumamoto University, Department of Mathematics, Kumamoto 860-8555, Japan
- Tatsuya Kikukawa
- Kumamoto High School, Shin-Oe 1-8, Kumamoto 862-0972, Japan
- Communicated by P.A. Cojuhari.
- Received: 2014-02-28.
- Revised: 2014-06-09.
- Accepted: 2014-11-15.
- Published online: 2015-04-27.
