Configuration space of 8 points on the projective line and a 5-dimensional Picard modular group
Matsumoto, Keiji ; Yoshida, Masaaki
Compositio Mathematica, Tome 89 (1993), p. 265-280 / Harvested from Numdam
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Publié le : 1993-01-01
@article{CM_1993__86_3_265_0,
     author = {Matsumoto, Keiji and Yoshida, Masaaki},
     title = {Configuration space of 8 points on the projective line and a $5$-dimensional Picard modular group},
     journal = {Compositio Mathematica},
     volume = {89},
     year = {1993},
     pages = {265-280},
     mrnumber = {1219628},
     zbl = {0809.14044},
     language = {en},
     url = {http://dml.mathdoc.fr/item/CM_1993__86_3_265_0}
}

Matsumoto, Keiji; Yoshida, Masaaki. Configuration space of 8 points on the projective line and a $5$-dimensional Picard modular group. Compositio Mathematica, Tome 89 (1993) pp. 265-280. http://gdmltest.u-ga.fr/item/CM_1993__86_3_265_0/

[AK] P. Appell et Kampé De Feriet, Fonctions hypergéométriques et hypersphériques - polynomes d'Hermite, Gauthier-Villars, 1926. | JFM 52.0361.13

[DM] P. Deligne and G.D. Mostow, Monodromy of hypergeometric functions and non-lattice integral monodromy, Publ. Math. IHES 63 (1986), 5-89. | Numdam | MR 849651 | Zbl 0615.22008

[Erd] A. Erdélyi (Editor), Higher Transcendental Functions, Vol. 1, McGraw-Hill, 1953. | Zbl 0051.30303

[Holz] R.P. Holzapfel, Geometry and Arithmetic around Euler Partial Differential Equations, D. Reidel Publ. Company, Dordrecht, 1986. | MR 867406 | Zbl 0595.14016

[Hun1] B. Hunt, Coverings and ball quotients, Bonn. Math. Schrif. 174 (1986). | MR 865805 | Zbl 0613.14032

[Hun2] B. Hunt, A Siegel modular 3-fold that is a Picard modular 3-fold, Composito Math. 76 (1990), 203-242. | Numdam | MR 1078863 | Zbl 0721.14022

[Mat] K. Matsumoto, On modular functions in 2 variables attached to a family of hyperelliptic curves of genus 3, Ann. Scuola Norm. Sup. di Pisa 16 (1989), 557-578. | Numdam | MR 1052734 | Zbl 0708.11029

[MSY] K. Matsumoto, T. Sasaki and M. Yoshida, Recent progress of Gauss-Schwarz theory and related geometric structures, to appear in Adv. Study Pure Math. | Zbl 0810.14018

[MY] K. Matsumoto and M. Yoshida, On some discrete reflection groups and congruence subgroups, Proc. of the Japan Acad. 67 (1991), 125-127. | MR 1114953 | Zbl 0757.20012

[Pic1] E. Picard, Sur les fonctions de deux variables in dépendantes analogues aux fonctions modulaires, Acta. Math. 2 (1883), 114-126. | JFM 15.0432.01

[Pic2] E. Picard, Sur les fonctions hyperfuchsiennes provenant des séries hypergéométrique de deux variables, Ann. Sci. Ecole Norm. Sup. III 2 (1885), 357-384. | JFM 17.0412.01 | Numdam | MR 1508769

[Sh] H. Shiga, One attempt to the K3 modular functions I, Ann.. Sc. Norm. Sup. Pisa Serie IV -6(1979), 609-635; II, ibid. Serie IV-8 (1981), 157-182. | Numdam | Numdam | MR 563337 | Zbl 0501.14019

[Shio] T. Shioda, On the graded ring of invariants of binary octavics, Amer. J. of Math. 89 (1967), 1022-1046. | MR 220738 | Zbl 0188.53304

[Ter] T. Terada, Fonction hypergéométriques F1 et fonctions automorphes I, J. Math. Soc. Japan 35 (1983), 451-475; II, ibid. 37 (1985), 173-185. | Zbl 0553.32021

[Y] M. Yoshida, Fuchsian Differential Equations, Vieweg, Wiesbaden, 1987. | MR 986252 | Zbl 0618.35001