@article{ASNSP_1993_4_20_4_617_0, author = {Matsumoto, Keiji and Sasaki, Takeshi and Takayama, Nobuki and Yoshida, Masaaki}, title = {Monodromy of the hypergeometric differential equation of type (3,6) {II.} {The} unitary reflection group of order $2^9 . \: 3^7 . \: 5 . \: 7$}, journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze}, pages = {617--631}, publisher = {Scuola normale superiore}, volume = {Ser. 4, 20}, number = {4}, year = {1993}, mrnumber = {1267602}, zbl = {0810.33009}, language = {en}, url = {http://www.numdam.org/item/ASNSP_1993_4_20_4_617_0/} }
TY - JOUR AU - Matsumoto, Keiji AU - Sasaki, Takeshi AU - Takayama, Nobuki AU - Yoshida, Masaaki TI - Monodromy of the hypergeometric differential equation of type (3,6) II. The unitary reflection group of order $2^9 . \: 3^7 . \: 5 . \: 7$ JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 1993 SP - 617 EP - 631 VL - 20 IS - 4 PB - Scuola normale superiore UR - http://www.numdam.org/item/ASNSP_1993_4_20_4_617_0/ LA - en ID - ASNSP_1993_4_20_4_617_0 ER -
%0 Journal Article %A Matsumoto, Keiji %A Sasaki, Takeshi %A Takayama, Nobuki %A Yoshida, Masaaki %T Monodromy of the hypergeometric differential equation of type (3,6) II. The unitary reflection group of order $2^9 . \: 3^7 . \: 5 . \: 7$ %J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze %D 1993 %P 617-631 %V 20 %N 4 %I Scuola normale superiore %U http://www.numdam.org/item/ASNSP_1993_4_20_4_617_0/ %G en %F ASNSP_1993_4_20_4_617_0
Matsumoto, Keiji; Sasaki, Takeshi; Takayama, Nobuki; Yoshida, Masaaki. Monodromy of the hypergeometric differential equation of type (3,6) II. The unitary reflection group of order $2^9 . \: 3^7 . \: 5 . \: 7$. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 20 (1993) no. 4, pp. 617-631. http://www.numdam.org/item/ASNSP_1993_4_20_4_617_0/
[1] Atlas of Finite Groups, Clarendon Press, Oxford, 1985. | MR | Zbl
- - - - ,[2] Monodromy for the hypergeometric function nFn-1, Invent. math. 95 (1989), 325-354. | MR | Zbl
- ,[3] Generalized Euler integrals and A-hypergeometric functions, Adv. Math. 84 (1990), 255-271. | MR | Zbl
- - ,[4] On a finite group of order 6,531,840, Proc. London Math. Soc. (2), 52 (1951), 401-454. | MR | Zbl
,[5] Lectures on Differential equations, Tokyo Univ., 1985.
,[6] The monodromy of the period map of a 4-parameter family of K3 surfaces and the hypergeometric function of type (3,6), Intemat. J. Math. 3 (1992), 1-164. | MR | Zbl
- - ,[7] Monodromy of the hypergeometric differential equation of type (3,6) I, to appear in Duke Math. J., 1993. | MR | Zbl
- - - ,[8] Unitary groups generated by reflections, Canad. J. Math., 5 (1953), 364-383. | MR | Zbl
,[9] On the finiteness of the monodromy group of the system of hypergeometric differential equations (FD), J. Fac. Sic. Univ. Tokyo 24 (1977), 565-573. | MR | Zbl
,[10] On a certain class of generalized hypergeometric functions with finite monodromy groups, preprint (1990). | MR
,[11] Finite unitary reflection groups, Canad. J. Math. 6 (1954), 274-304. | MR | Zbl
- ,[12] A global study of Jordan-Pochhammer differential equations, Funkcial. Ekvac. 19 (1976), 85-99. | MR | Zbl
- ,[13] Exponential Kummer coverings and determinants of hypergeometric functions, preprint (1991). | MR
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