MR2428827
Yoshishige HARAOKA and Youichi UENO
Yoshishige HARAOKA and Youichi UENO
Rigidity for Appell's Hypergeometric Series $F_4$
Funkcialaj Ekvacioj. Serio Internacia
51
2008
149--164
http://fe.math.kobe-u.ac.jp/FE/FullPapers/51-1/51_149.pdf
http://www.ams.org/mathscinet-getitem?mr=MR2428827
Appell's hypergeometric series $F_4$ defines a multi-valued function in ${\bf P}^2{\bf C}\setminus L$ 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 $F_4$ without using any analytic expression such as integral expression of $F_4$. A condition for the irreducibility of the monodromy group is obtained. Relations to rigidity of several sections are considered.
Hypergeometric series, Monodromy, Rigidity.
33C65.
51-149
2008
Rigidity for Appell's Hypergeometric Series $F_4$
Yoshishige HARAOKA and Youichi UENO
Yoshishige HARAOKA and Youichi UENO
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