@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}, zbl = {0810.33009}, mrnumber = {1267602}, language = {en}, url = {www.numdam.org/item/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 827219 | Zbl 0568.20001
- - - - ,[2] Monodromy for the hypergeometric function nFn-1, Invent. math. 95 (1989), 325-354. | MR 974906 | Zbl 0663.30044
- ,[3] Generalized Euler integrals and A-hypergeometric functions, Adv. Math. 84 (1990), 255-271. | MR 1080980 | Zbl 0741.33011
- - ,[4] On a finite group of order 6,531,840, Proc. London Math. Soc. (2), 52 (1951), 401-454. | MR 42403 | Zbl 0043.02801
,[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 1136204 | Zbl 0763.32016
- - ,[7] Monodromy of the hypergeometric differential equation of type (3,6) I, to appear in Duke Math. J., 1993. | MR 1233442 | Zbl 0799.33008
- - - ,[8] Unitary groups generated by reflections, Canad. J. Math., 5 (1953), 364-383. | MR 55349 | Zbl 0052.16403
,[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 498553 | Zbl 0388.33003
,[10] On a certain class of generalized hypergeometric functions with finite monodromy groups, preprint (1990). | MR 1197106
,[11] Finite unitary reflection groups, Canad. J. Math. 6 (1954), 274-304. | MR 59914 | Zbl 0055.14305
- ,[12] A global study of Jordan-Pochhammer differential equations, Funkcial. Ekvac. 19 (1976), 85-99. | MR 422734 | Zbl 0349.34009
- ,[13] Exponential Kummer coverings and determinants of hypergeometric functions, preprint (1991). | MR 1247668
,