The uniformizing differential equation of the complex hyperbolic structure on the moduli space of marked cubic surfaces

Proceedings of the Japan Academy Series A: Mathematical Sciences

Volumn 75, Issue 7, 1999, Pages 129-133

  Sasaki, Takeshi ^a   Yoshida, Masaaki ^b  

^a KOBE UNIVERSITY   (Japan)

^b KYUSHU UNIVERSITY   (Japan)

Author keywords

Complex hyperbolic structure; Cubic surface; Developing map; Moduli space; Schwarzian derivative; Uniformizing differential equation; Weyl group

Indexed keywords

EID: 22844455284     PISSN: 03862194     EISSN: None     Source Type: Journal    
DOI: 10.3792/pjaa.75.129     Document Type: Article

References (8)

1. D. Allcock, J. Carlson, and D. Toledo: A complex hyperbolic structure for moduli of cubic surfaces. C. R. Acad. Sci., 326, 49-54 (1998).
2. J. Carlson and D. Toledo: Discriminant compliments and kernels of monodromy representations. alg-geom/9708002, version 3, 11 May 1998.
3. I. Naruki: Cross ratio variety as a moduli space of cubic surfaces. Proc. London Math. Soc., 45, 1-30 (1982).
4. T. Sasaki and M. Yoshida: Linear differential equations in two variables of rank 4, I, II. Math. Ann., 282, 69-93; 95-111 (1988).
5. 6)-orbits of the configurations space of 6 lines on the real projective space. Kyushu J. Math., 51, 1-58 (1997).
6. M. Yoshida: The real loci of the configuration space of six points on the projective line and a Picard modular 3-fold. Kumamoto J. Math., 11, 43-67 (1998).
7. M. Yoshida: Fuchsian Differential Equations. Vieweg Verlag, Wiesbaden, pp. 1-215 (1987).
8. M. Yoshida: Hypergeometric Functions, My Love. Vieweg Verlag, Wiesbaden, pp. 1-292 (1997).