Configuration space of 8 points on the projective line and a 5-dimensional Picard modular group

Keiji Matsumoto; Masaaki Yoshida

Compositio Mathematica (1993)

  • Volume: 86, Issue: 3, page 265-280
  • ISSN: 0010-437X

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Matsumoto, Keiji, and Yoshida, Masaaki. "Configuration space of 8 points on the projective line and a 5-dimensional Picard modular group." Compositio Mathematica 86.3 (1993): 265-280. <http://eudml.org/doc/90221>.

@article{Matsumoto1993,
author = {Matsumoto, Keiji, Yoshida, Masaaki},
journal = {Compositio Mathematica},
keywords = {complex 5-ball; cyclic covers of the projective line; configuration space; branching points},
language = {eng},
number = {3},
pages = {265-280},
publisher = {Kluwer Academic Publishers},
title = {Configuration space of 8 points on the projective line and a 5-dimensional Picard modular group},
url = {http://eudml.org/doc/90221},
volume = {86},
year = {1993},
}

TY - JOUR
AU - Matsumoto, Keiji
AU - Yoshida, Masaaki
TI - Configuration space of 8 points on the projective line and a 5-dimensional Picard modular group
JO - Compositio Mathematica
PY - 1993
PB - Kluwer Academic Publishers
VL - 86
IS - 3
SP - 265
EP - 280
LA - eng
KW - complex 5-ball; cyclic covers of the projective line; configuration space; branching points
UR - http://eudml.org/doc/90221
ER -

References

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  2. [DM] P. Deligne and G.D. Mostow, Monodromy of hypergeometric functions and non-lattice integral monodromy, Publ. Math. IHES63 (1986), 5-89. Zbl0615.22008MR849651
  3. [Erd] A. Erdélyi (Editor), Higher Transcendental Functions, Vol. 1, McGraw-Hill, 1953. Zbl0051.30303
  4. [Holz] R.P. Holzapfel, Geometry and Arithmetic around Euler Partial Differential Equations, D. Reidel Publ. Company, Dordrecht, 1986. Zbl0595.14016MR867406
  5. [Hun1] B. Hunt, Coverings and ball quotients, Bonn. Math. Schrif.174 (1986). Zbl0613.14032MR865805
  6. [Hun2] B. Hunt, A Siegel modular 3-fold that is a Picard modular 3-fold, Composito Math. 76 (1990), 203-242. Zbl0721.14022MR1078863
  7. [Mat] K. Matsumoto, On modular functions in 2 variables attached to a family of hyperelliptic curves of genus 3, Ann. Scuola Norm. Sup. di Pisa16 (1989), 557-578. Zbl0708.11029MR1052734
  8. [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. Zbl0810.14018
  9. [MY] K. Matsumoto and M. Yoshida, On some discrete reflection groups and congruence subgroups, Proc. of the Japan Acad.67 (1991), 125-127. Zbl0757.20012MR1114953
  10. [Pic1] E. Picard, Sur les fonctions de deux variables in dépendantes analogues aux fonctions modulaires, Acta. Math.2 (1883), 114-126. JFM15.0432.01
  11. [Pic2] E. Picard, Sur les fonctions hyperfuchsiennes provenant des séries hypergéométrique de deux variables, Ann. Sci. Ecole Norm. Sup. III2 (1885), 357-384. MR1508769JFM17.0412.01
  12. [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. Zbl0501.14019MR563337
  13. [Shio] T. Shioda, On the graded ring of invariants of binary octavics, Amer. J. of Math.89 (1967), 1022-1046. Zbl0188.53304MR220738
  14. [Ter] T. Terada, Fonction hypergéométriques F1 et fonctions automorphes I, J. Math. Soc. Japan35 (1983), 451-475; II, ibid. 37 (1985), 173-185. Zbl0553.32021
  15. [Y] M. Yoshida, Fuchsian Differential Equations, Vieweg, Wiesbaden, 1987. Zbl0618.35001MR986252

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