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Original Article

Dirichlet Domains for the Mostow Lattices

Pages 467-490 | Published online: 30 Jan 2011

  • H. S. M. Coxeter. "Finite Groups Generated by Unitary Reflections." Abh. Math. Sem. Univ. Hamburg 31 (1967), 125–135.
  • P. Deligne and G. D. Mostow. "Monodromy of Hypergeometric Functions and Nonlattice Integral Monodromy." Inst. Hautes Études Sci. Publ. Math. 63 (1986), 5–89.
  • M. Deraux. "Dirichlet Polyhedra for the Mostow Lattices." Java applet. Available from World Wide Web (http://www.math.utah.edu/~deraux/java/ mostow), 2004. http://www.math.utah.edu/~deraux/java/mostow
  • M. Deraux. "On the Universal Cover of Certain Exotic Kähler Surfaces of Negative Curvature." Math. Ann. 329:4 (2004), 653–683.
  • M. Deraux. "Deforming the ℝ-Fuchsian (4,4,4)- Triangle Group into a Lattice." Preprint, 2005.
  • M. Deraux, E. Falbel, and J. Paupert. "New Constructions of Fundamental Polyhedra in Complex Hyperbolic Space." Acta Math. 194 (2005), 155–201.
  • D. B. A. Epstein. "Complex Hyperbolic Geometry." In Analytical and Geometric Aspects of Hyperbolic Space, 93–111, London Math. Soc. Lecture Notes, 11. Cambridge, UK: Cambridge University Press, 1987.
  • E. Falbel and P. -V. Koseleff. "Rigidity and Fexibility of Triangle Groups in Complex Hyperbolic Geometry." Topology 41:4 (2002), 767–786.
  • E. Falbel and J. Parker. "The Geometry of the Eisenstein-Picard Modular Group." To appear in Duke Math. J., 2005.
  • E. Falbel and J. Paupert. "Fundamental Domains for Finite Subgroups of U(2) and Configurations of Lagrangians." Geom. Dedicata 109 (2004), 221–238.
  • G. Giraud. "Sur certaines fonctions automorphes de deux variables." Ann. Sci. École Norm. Sup. 38 (1921), 43–164.
  • W. M. Goldman. Complex Hyperbolic Geometry, Oxford Mathematical Monographs. Oxford, UK: Oxford University Press, 1999.
  • W. M. Goldman and J. R. Parker. "Dirichlet Polyhedra for Dihedral Groups Acting on Complex Hyperbolic Space." J. Geom. Anal. 2:6 (1992), 517–554.
  • G. D. Mostow. "On a Remarkable Class of Polyhedra in Complex Hyperbolic Space." Pacific J. Math. 86 (1980), 171–276.
  • G. D. Mostow. "Generalized Picard Lattices Arising from Half-Integral Conditions." Inst. Hautes Études Sci. Publ. Math. 63 (1986), 91–106.
  • G. D. Mostow. "On Discontinuous Action of Monodromy Groups on the Complex n-Ball." J. Amer. Math. Soc. 1 (1988), 555–586.
  • G. D. Mostow and Y. T. Siu. "A Compact Kähler Surface of Negative Curvature Not Covered by the Ball." Ann. of Math. 112 (1980), 321–360.
  • J. Parker. "Cone Metrics on the Sphere and Livne's Lattices." Preprint, 2005.
  • M. Phillips. "Dirichlet Polyhedra for Cyclic Groups in Complex Hyperbolic Space." Proc. Amer. Math. Soc. 115 (1992), 221–228.
  • E. Picard. "Sur une extension aux fonctions de deux variables du problème de Riemann relatif aux fonctions hypergéométriques." Ann. ENS 10 (1881), 305–322.
  • R. E. Schwartz. "Ideal Triangle Groups, Dented Tori, and Numerical Analysis." Annals of Mathematics 153 (2001), 533–598.
  • W. P. Thurston. "Shapes of Polyhedra and Triangulations of the Sphere." Geometry and Topology Monographs 1 (1998), 511–549.

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