TY - JOUR ID - Haraoka2015 LB - Haraoka2015 AU - Haraoka, Yoshishige AU - Kikukawa, Tatsuya TI - Rigidity of monodromies for Appell's hypergeometric functions ST - Rigidity of monodromies for Appell's hypergeometric functions JO - Opuscula Math. JA - Opuscula Math. JF - Opuscula Mathematica PY - 2015 VL - 35 IS - 5 SP - 567 EP - 594 DO - http://dx.doi.org/10.7494/OpMath.2015.35.5.567 UR - http://dx.doi.org/10.7494/OpMath.2015.35.5.567 AB - 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. KW - rigidity KW - monodromy KW - arrangement of hyperplanes SN - 1232-9274 ER -