Volume 13 (2008)

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Automorphic functions for a Kleinian group

Masaaki Yoshida

Geometry & Topology Monographs 13 (2008) 483–497

DOI: 10.2140/gtm.2008.13.483

Bibliography
1 D Allcock, J A Carlson, D Toledo, The complex hyperbolic geometry of the moduli space of cubic surfaces, J. Algebraic Geom. 11 (2002) 659–724 MR1910264
2 W Couwenberg, G Heckman, E Looijenga, Geometric structures on the complement of a projective arrangement, Publ. Math. Inst. Hautes Études Sci. (2005) 69–161 MR2217047
3 P Deligne, G D Mostow, Monodromy of hypergeometric functions and nonlattice integral monodromy, Inst. Hautes Études Sci. Publ. Math. (1986) 5–89 MR849651
4 K Matsumoto, Algebraic relations among some theta functions on the bounded symmetric domain of type I r,r, Kyushu J. Math. 60 (2006) 63–77 MR2216949
5 K Matsumoto, H Nishi, M Yoshida, Automorphic functions for the Whitehead-link-complement group, Osaka J. Math. 43 (2006) 839–876 MR2303553
6 K Matsumoto, T Sasaki, M Yoshida, The monodromy of the period map of a 4-parameter family of K3 surfaces and the hypergeometric function of type (3,6), Internat. J. Math. 3 (1992) 164 MR1136204
7 K Matsumoto, T Terasoma, Theta constants associated to cubic threefolds, J. Algebraic Geom. 12 (2003) 741–775 MR1993763
8 K Matsumoto, T Terasoma, Theta constants associated to coverings of P1 branching at eight points, Compos. Math. 140 (2004) 1277–1301 MR2081157
9 K Matsumoto, M Yoshida, Invariants for some real hyperbolic groups, Internat. J. Math. 13 (2002) 415–443 MR1912188
10 E Picard, Sur des fonctions de deux variables indépendantes analogues aux fonctions modulaires, Acta Math. 2 (1883) 114–135 MR1554595
11 H Shiga, On the representation of the Picard modular function by θ constants. I, II, Publ. Res. Inst. Math. Sci. 24 (1988) 311–360 MR966178
12 T Terada, Problème de Riemann et fonctions automorphes provenant des fonctions hypergéométriques de plusieurs variables, J. Math. Kyoto Univ. 13 (1973) 557–578 MR0481156
13 T Terada, Fonctions hypergéométriques F1 et fonctions automorphes. II. Groupes discontinus arithmétiquement définis, J. Math. Soc. Japan 37 (1985) 173–185 MR780657
14 N Wielenberg, The structure of certain subgroups of the Picard group, Math. Proc. Cambridge Philos. Soc. 84 (1978) 427–436 MR503003
15 M Yoshida, Hypergeometric functions, my love, Modular interpretations of configuration spaces, Aspects of Mathematics, E32, Friedr. Vieweg & Sohn (1997) MR1453580