On the family of pentagonal curves of genus 6 and associated modular forms on the ball

Journal of the Mathematical Society of Japan

Volumn 55, Issue 1, 2003, Pages 165-196

  Koike, Kenji ^a  

^a CHIBA UNIVERSITY   (Japan)

Author keywords

Algebraic curve; Configuration space; Theta function

Indexed keywords

EID: 0038393321     PISSN: 00255645     EISSN: 18811167     Source Type: Journal    
DOI: 10.2969/jmsj/1196890848     Document Type: Article

References (18)

1. P. Deligne and G. D. Mostow, Monodromy of hypergeometric functions and non-lattice integral monodromy, Publ. Math I.H.E.S., 63 (1986), 5-88.
2. R. Friedmann. Algebraic surfaces and holomorphic vector bundles, Springer, 1998.
3. R. P. Holzapfel, Ball and surface arithmetics. Aspects of Mathematics, E29. Friedr. Vieweg & Sohn, Braunschweig, 1998.
4. J. Igusa, Theta functions, Springer, Heidelberg, New-York, 1972.
5. K. Koike, On the description of moduli for certain families of complex algebraic varieties, doctoral thesis. Chiba university, 2001.
6. K. Matsumoto, On Modular Functions in 2 Variables Attached to a Family of Hyperelliptic Curves of Genus 3. Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4), 16 (1989), no. 4, 557-578.
7. 2;2 and the period map of a 4-parameter family of K3 surfaces, Math. Ann., 295 (1993), 383-409.
8. K. Matsumoto, Theta constants associated with the cyclic triple coverings of the complex projective line branching at six points, math.AG/0008025.
9. D. Mumford, Tata Lectures on Theta I, Birkhauser, Boston-Basel-Stuttgard, 1983.
10. H. Shiga, On the representation of the Picard modular function by d constants I-II, Publ. Res. Inst. Math. Sci. Kyoto Univ., 24 (1988), 311-360.
11. H. Shiga, One attempt to the K3 modular function I-II. Ann. Scuola Norm. Pisa, Ser. IV-Vol. VI (1979), 609-635, Ser. IV-Vol. VIII (1981), 157-182.
12. G. Shimura, On purly transcendental fields of automorphic functions of several complex variables, Osaka J. Math., 1 (1964), 1-14.
13. K. Takeuchi. Arithmetic triangle group, J. Math. Soc. Japan, Vol. 29 (1977), No. 1, 91-106.
14. T. Terada, Fonctions hypergeometriques Fj et fonctions automorphes I-II, J. Math. Soc. Japan, 35 (1983), 451-475, 37 (1985), 173-185.
15. J. Wolfart, Graduierte algebren automorpher formen zu dreiecksgruppen. Analysis, 1 (1981), no. 3, 177-190.
16. 2, Math. Ann., 266 (1984), 421-431.
17. M. Yoshida, Fuchsian differential equations. Aspects of Mathematics, E11. Friedr. Vieweg & Sohn, Braunschweig, 1987.
18. M. Yoshida, Hypergeometric functions, my love. Aspects of Mathematics, E32. Friedr. Vieweg & Sohn, Braunschweig, 1997