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References
Coxeter, H.S.M.: Regular complex polytope. Cambridge: Cambridge University Press 1974
Hirzebruch, F.: Arrangements of lines and algebraic surfaces. In: Arithmetic and geometry, Vol. II. Progress in Math. Vol. 36, pp. 113–140. Boston, Basel, Stuttgart: Birkhäuser 1983
Kaneko, J., Tokunaga, S., Yoshida, M.: Complex crystallographic groups II. J. Math. Soc. Japan34, 596–605 (1982)
Kato, M.: On uniformization of orbifolds (preprint)
Mostow, G.D.: Existence of nonarithmetic monodromy groups. Proc. Nat. Acad. Sci. USA78, 5948–5950 (1981)
Mostow, G.D.: Generalized Picard lattices arising from half-integral conditions (preprint)
Oda, T.: On Schwarzian derivatives in several variables. (In Japanese) Kokyuroku of R.I.M., Kyoto Univ.226 (1974)
Picard, E.: Sur les fonctions de deux variables independantes analogues aux fonctions modulaire. Acta Math.2, 114–126 (1883)
Terada, T.: Problème de Riemann et fonctions automorphes provenant des fonctions hypergéométriques de plusieurs variables. J. Math. Kyoto Univ.13, 557–578 (1973)
Terada, T.: Fonctions hypergéométriquesF 1 et fonctions automorpesI. J. Math. Soc. Japan35, 451–475 (1983)
Sasaki, T.: On the finiteness, of the monodromy group of the system of hypergeometric differential equations (F D). J. Fac. Sci. Univ. Tokyo24, 565–573 (1977)
Shephard, G.C., Todd, J.A.: Finite unitary reflection groups. Canad. J. Math.6, 274–304 (1954)
Thurston, W.: The geometry and topology of three-manifolds. Princeton Univ. (mimeographed notes 1978–1979)
Yamazaki, T., Yoshida, M.: On Hirzebruch's examples of surfaces withc 21 =3c 2. Math. Ann.266, 421–431 (1984)
Yoshida, M.: Canonical forms of some systems of linear partial differential equations. Proc. Japan Acad.52, 473–476 (1976)
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Yoshida, M. Orbifold-uniformizing differential equations. Math. Ann. 267, 125–142 (1984). https://doi.org/10.1007/BF01458475
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DOI: https://doi.org/10.1007/BF01458475