Monodromy of Lauricella's hypergeometric F_A-system

• Keiji Matsumoto ^[1] ; Masaaki Yoshida ^[2]
  1. [1] Hokkaido University

     Hokkaido University

     Chūō-ku, Japón

     
  2. [2] Kyushu University

     Kyushu University

     Hakata Ku, Japón

     
• Localización: Annali della Scuola Normale Superiore di Pisa. Classe di scienze, ISSN 0391-173X, Vol. 13, Nº 2, 2014, págs. 551-577
• Idioma: inglés
• Enlaces
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• Resumen

  • We give a monodromy representation of Lauricella’s system of differential equations annihilating the hypergeometric series FA(a, (b), (c); x) of k-variables; its rank is 2k . Under some non-integral conditions for parameters a, (b) = (b1, . . . , bk ), (c) = (c1, . . . , ck ), we find circuit matrices with respect to solutions represented by integrals. We make use of the intersection numbers of the domains of the integrals.